545972400 has 360 divisors, whose sum is σ = 2027463984. Its totient is φ = 141004800.

The previous prime is 545972363. The next prime is 545972431. The reversal of 545972400 is 4279545.

545972400 is a `hidden beast` number, since 545 + 9 + 72 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3985132 + ... + 3985268.

Almost surely, 2^545972400 is an apocalyptic number.

545972400 is a gapful number since it is divisible by the number (50) 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 545972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013731992).

545972400 is an abundant number, since it is smaller than the sum of its proper divisors (1481491584).

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

545972400 is a wasteful number, since it uses less digits than its factorization.

545972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 545972400 is about 23366.0522981525. The cubic root of 545972400 is about 817.3164304600.

The spelling of 545972400 in words is "five hundred forty-five million, nine hundred seventy-two thousand, four hundred".