574461900900 has 288 divisors, whose sum is σ = 1874692512000. Its totient is φ = 150888545280.

The previous prime is 574461900899. The next prime is 574461900949. The reversal of 574461900900 is 9009164475.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64636257 + ... + 64645143.

It is an arithmetic number, because the mean of its divisors is an integer number (6509349000).

Almost surely, 2^574461900900 is an apocalyptic number.

574461900900 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 574461900900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937346256000).

574461900900 is an abundant number, since it is smaller than the sum of its proper divisors (1300230611100).

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

574461900900 is a wasteful number, since it uses less digits than its factorization.

574461900900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 574461900900 in words is "five hundred seventy-four billion, four hundred sixty-one million, nine hundred thousand, nine hundred".