45158400 has 351 divisors, whose sum is σ = 188155461. Its totient is φ = 10321920.

The previous prime is 45158371. The next prime is 45158411. The reversal of 45158400 is 485154.

The square root of 45158400 is 6720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16257024 + 28901376 = 4032^2 + 5376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6451197 + ... + 6451203.

Almost surely, 2^45158400 is an apocalyptic number.

45158400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45158400 is the 6720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45158400

45158400 is an abundant number, since it is smaller than the sum of its proper divisors (142997061).

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

45158400 is a wasteful number, since it uses less digits than its factorization.

45158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The cubic root of 45158400 is about 356.1061838706.

The spelling of 45158400 in words is "forty-five million, one hundred fifty-eight thousand, four hundred".