45695280 has 80 divisors (see below), whose sum is σ = 144705024. Its totient is φ = 11923200.

The previous prime is 45695263. The next prime is 45695281. The reversal of 45695280 is 8259654.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45695280² = 4176117228556800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45695281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9255 + ... + 13305.

Almost surely, 2^45695280 is an apocalyptic number.

45695280 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 45695280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72352512).

45695280 is an abundant number, since it is smaller than the sum of its proper divisors (99009744).

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

45695280 is a wasteful number, since it uses less digits than its factorization.

45695280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 45695280 is about 6759.8284001889. The cubic root of 45695280 is about 357.5118551173.

The spelling of 45695280 in words is "forty-five million, six hundred ninety-five thousand, two hundred eighty".