45374400 has 252 divisors, whose sum is σ = 169511472. Its totient is φ = 11489280.

The previous prime is 45374323. The next prime is 45374431. The reversal of 45374400 is 447354.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331132 + ... + 331268.

Almost surely, 2^45374400 is an apocalyptic number.

45374400 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 45374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84755736).

45374400 is an abundant number, since it is smaller than the sum of its proper divisors (124137072).

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

45374400 is a wasteful number, since it uses less digits than its factorization.

45374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45374400 is about 6736.0522563294. The cubic root of 45374400 is about 356.6730523599.

The spelling of 45374400 in words is "forty-five million, three hundred seventy-four thousand, four hundred".