45980640 has 144 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 11916288.

The previous prime is 45980629. The next prime is 45980651. The reversal of 45980640 is 4608954.

45980640 is a `hidden beast` number, since 4 + 5 + 9 + 8 + 0 + 640 = 666.

45980640 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (45980629) and next prime (45980651).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×45980640² = 4228438509619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45980595 and 45980604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52849 + ... + 53711.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^45980640 is an apocalyptic number.

45980640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

45980640 is an abundant number, since it is smaller than the sum of its proper divisors (115355808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45980640 is a wasteful number, since it uses less digits than its factorization.

45980640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45980640 is about 6780.9025947878. The cubic root of 45980640 is about 358.2545135214.

The spelling of 45980640 in words is "forty-five million, nine hundred eighty thousand, six hundred forty".