402149664 has 384 divisors, whose sum is σ = 1451520000. Its totient is φ = 108041472.

The previous prime is 402149653. The next prime is 402149677. The reversal of 402149664 is 466941204.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6816067 + ... + 6816125.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^402149664 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 402149664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

402149664 is an abundant number, since it is smaller than the sum of its proper divisors (1049370336).

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

402149664 is a wasteful number, since it uses less digits than its factorization.

402149664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 402149664 is about 20053.6695893794. The cubic root of 402149664 is about 738.1238472834.

The spelling of 402149664 in words is "four hundred two million, one hundred forty-nine thousand, six hundred sixty-four".