464281839900 has 288 divisors, whose sum is σ = 1529916245760. Its totient is φ = 120748320000.

The previous prime is 464281839887. The next prime is 464281839911. The reversal of 464281839900 is 9938182464.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 18258195 + ... + 18283605.

Almost surely, 2^464281839900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464281839900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764958122880).

464281839900 is an abundant number, since it is smaller than the sum of its proper divisors (1065634405860).

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

464281839900 is a wasteful number, since it uses less digits than its factorization.

464281839900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25602 (or 25589 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 464281839900 in words is "four hundred sixty-four billion, two hundred eighty-one million, eight hundred thirty-nine thousand, nine hundred".