45995760 has 120 divisors (see below), whose sum is σ = 155738544. Its totient is φ = 12165120.

The previous prime is 45995759. The next prime is 45995771. The reversal of 45995760 is 6759954.

It is a happy number.

45995760 is a `hidden beast` number, since 4 + 599 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 138795 + ... + 139125.

Almost surely, 2^45995760 is an apocalyptic number.

45995760 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 45995760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77869272).

45995760 is an abundant number, since it is smaller than the sum of its proper divisors (109742784).

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

45995760 is a wasteful number, since it uses less digits than its factorization.

45995760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 45995760 is about 6782.0173989750. The cubic root of 45995760 is about 358.2937779786.

The spelling of 45995760 in words is "forty-five million, nine hundred ninety-five thousand, seven hundred sixty".