45357400 has 96 divisors (see below), whose sum is σ = 117514800. Its totient is φ = 16140800.

The previous prime is 45357379. The next prime is 45357419. The reversal of 45357400 is 475354.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 116406 + ... + 116794.

Almost surely, 2^45357400 is an apocalyptic number.

45357400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45357400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58757400).

45357400 is an abundant number, since it is smaller than the sum of its proper divisors (72157400).

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

45357400 is a wasteful number, since it uses less digits than its factorization.

45357400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 45357400 is about 6734.7902714190. The cubic root of 45357400 is about 356.6285030157.

It can be divided in two parts, 4535 and 7400, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 45357400 in words is "forty-five million, three hundred fifty-seven thousand, four hundred".