402164100 has 216 divisors, whose sum is σ = 1395717960. Its totient is φ = 96215040.

The previous prime is 402164047. The next prime is 402164129. The reversal of 402164100 is 1461204.

402164100 is a `hidden beast` number, since 4 + 0 + 21 + 641 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 217149696 + 185014404 = 14736^2 + 13602^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 432436 + ... + 433364.

Almost surely, 2^402164100 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 402164100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697858980).

402164100 is an abundant number, since it is smaller than the sum of its proper divisors (993553860).

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

402164100 is a wasteful number, since it uses less digits than its factorization.

402164100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 402164100 is about 20054.0295202735. The cubic root of 402164100 is about 738.1326793421.

It can be divided in two parts, 4021 and 64100, that added together give a square (68121 = 261²).

The spelling of 402164100 in words is "four hundred two million, one hundred sixty-four thousand, one hundred".