402432768 has 216 divisors, whose sum is σ = 1267484400. Its totient is φ = 122314752.

The previous prime is 402432691. The next prime is 402432803. The reversal of 402432768 is 867234204.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269346 + ... + 1269662.

Almost surely, 2^402432768 is an apocalyptic number.

402432768 is a gapful number since it is divisible by the number (48) 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 402432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633742200).

402432768 is an abundant number, since it is smaller than the sum of its proper divisors (865051632).

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

402432768 is a wasteful number, since it uses less digits than its factorization.

402432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 402432768 is about 20060.7270057693. The cubic root of 402432768 is about 738.2970139888.

The spelling of 402432768 in words is "four hundred two million, four hundred thirty-two thousand, seven hundred sixty-eight".