45977440 has 48 divisors (see below), whose sum is σ = 109626048. Its totient is φ = 18221056.

The previous prime is 45977431. The next prime is 45977497. The reversal of 45977440 is 4477954.

It is a super-2 number, since 2×45977440² = 4227849977907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45977393 and 45977402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16809 + ... + 19351.

It is an arithmetic number, because the mean of its divisors is an integer number (2283876).

Almost surely, 2^45977440 is an apocalyptic number.

45977440 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 45977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54813024).

45977440 is an abundant number, since it is smaller than the sum of its proper divisors (63648608).

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

45977440 is a wasteful number, since it uses less digits than its factorization.

45977440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 45977440 is about 6780.6666338938. Note that the first 4 decimals coincide. The cubic root of 45977440 is about 358.2462024798.

The spelling of 45977440 in words is "forty-five million, nine hundred seventy-seven thousand, four hundred forty".