45455400 has 72 divisors (see below), whose sum is σ = 152660430. Its totient is φ = 12120960.

The previous prime is 45455387. The next prime is 45455401. The reversal of 45455400 is 455454.

It can be written as a sum of positive squares in 3 ways, for example, as 42693156 + 2762244 = 6534^2 + 1662^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45455401) 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 17 ways as a sum of consecutive naturals, for example, 10827 + ... + 14426.

Almost surely, 2^45455400 is an apocalyptic number.

45455400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45455400 is an abundant number, since it is smaller than the sum of its proper divisors (107205030).

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

45455400 is a wasteful number, since it uses less digits than its factorization.

45455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25275 (or 25263 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 45455400 is about 6742.0619991216. The cubic root of 45455400 is about 356.8851642041.

The spelling of 45455400 in words is "forty-five million, four hundred fifty-five thousand, four hundred".