45496080 has 400 divisors, whose sum is σ = 194451840. Its totient is φ = 9621504.

The previous prime is 45496067. The next prime is 45496081. The reversal of 45496080 is 8069454.

45496080 is a `hidden beast` number, since 4 + 5 + 49 + 608 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45496081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 771091 + ... + 771149.

Almost surely, 2^45496080 is an apocalyptic number.

45496080 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 45496080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97225920).

45496080 is an abundant number, since it is smaller than the sum of its proper divisors (148955760).

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

45496080 is a wasteful number, since it uses less digits than its factorization.

45496080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

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

The square root of 45496080 is about 6745.0782056252. The cubic root of 45496080 is about 356.9915964408.

The spelling of 45496080 in words is "forty-five million, four hundred ninety-six thousand, eighty".