45476352 has 120 divisors (see below), whose sum is σ = 134053920. Its totient is φ = 14837760.

The previous prime is 45476351. The next prime is 45476357. The reversal of 45476352 is 25367454.

45476352 is a `hidden beast` number, since 4 + 547 + 63 + 52 = 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 (45476351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327099 + ... + 327237.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^45476352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45476352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

45476352 is an abundant number, since it is smaller than the sum of its proper divisors (88577568).

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

45476352 is a wasteful number, since it uses less digits than its factorization.

45476352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45476352 is about 6743.6156474105. The cubic root of 45476352 is about 356.9399894422.

The spelling of 45476352 in words is "forty-five million, four hundred seventy-six thousand, three hundred fifty-two".