45552804 has 96 divisors (see below), whose sum is σ = 125314560. Its totient is φ = 12729600.

The previous prime is 45552791. The next prime is 45552817. The reversal of 45552804 is 40825554.

It is an interprime number because it is at equal distance from previous prime (45552791) and next prime (45552817).

It is a hoax number, since the sum of its digits (33) 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 (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102607 + ... + 103049.

It is an arithmetic number, because the mean of its divisors is an integer number (1305360).

Almost surely, 2^45552804 is an apocalyptic number.

45552804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45552804 is the 3608-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45552804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62657280).

45552804 is an abundant number, since it is smaller than the sum of its proper divisors (79761756).

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

45552804 is a wasteful number, since it uses less digits than its factorization.

45552804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 45552804 is about 6749.2817395631. The cubic root of 45552804 is about 357.1398991907.

The spelling of 45552804 in words is "forty-five million, five hundred fifty-two thousand, eight hundred four".