45837480 has 64 divisors (see below), whose sum is σ = 148095360. Its totient is φ = 11282688.

The previous prime is 45837469. The next prime is 45837509. The reversal of 45837480 is 8473854.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13132 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (2313990).

Almost surely, 2^45837480 is an apocalyptic number.

45837480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45837480 is an abundant number, since it is smaller than the sum of its proper divisors (102257880).

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

45837480 is a wasteful number, since it uses less digits than its factorization.

45837480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29410 (or 29406 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 45837480 is about 6770.3382485663. The cubic root of 45837480 is about 357.8823203821.

The spelling of 45837480 in words is "forty-five million, eight hundred thirty-seven thousand, four hundred eighty".