45995040 has 432 divisors, whose sum is σ = 201434688. Its totient is φ = 9704448.

The previous prime is 45995039. The next prime is 45995051. The reversal of 45995040 is 4059954.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 45994986 and 45995004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3538074 + ... + 3538086.

It is an arithmetic number, because the mean of its divisors is an integer number (466284).

Almost surely, 2^45995040 is an apocalyptic number.

45995040 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 45995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100717344).

45995040 is an abundant number, since it is smaller than the sum of its proper divisors (155439648).

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

45995040 is a wasteful number, since it uses less digits than its factorization.

45995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45995040 is about 6781.9643172167. The cubic root of 45995040 is about 358.2919084377.

The spelling of 45995040 in words is "forty-five million, nine hundred ninety-five thousand, forty".