204264462402 has 576 divisors, whose sum is σ = 626869152000. Its totient is φ = 47650861440.

The previous prime is 204264462361. The next prime is 204264462443.

204264462402 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 644 + 6 + 2 + 4 + 0 + 2 = 666.

204264462402 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (204264462361) and next prime (204264462443).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5520661128 + ... + 5520661164.

It is an arithmetic number, because the mean of its divisors is an integer number (1088314500).

Almost surely, 2^204264462402 is an apocalyptic number.

204264462402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204264462402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313434576000).

204264462402 is an abundant number, since it is smaller than the sum of its proper divisors (422604689598).

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

204264462402 is a wasteful number, since it uses less digits than its factorization.

204264462402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 204264 and 462402, that added together give a palindrome (666666).

The spelling of 204264462402 in words is "two hundred four billion, two hundred sixty-four million, four hundred sixty-two thousand, four hundred two".