402250464 has 432 divisors, whose sum is σ = 1537177824. Its totient is φ = 97320960.

The previous prime is 402250417. The next prime is 402250469. The reversal of 402250464 is 464052204.

402250464 is a `hidden beast` number, since 402 + 250 + 4 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402250469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4146864 + ... + 4146960.

It is an arithmetic number, because the mean of its divisors is an integer number (3558282).

Almost surely, 2^402250464 is an apocalyptic number.

402250464 is a gapful number since it is divisible by the number (44) 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 402250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768588912).

402250464 is an abundant number, since it is smaller than the sum of its proper divisors (1134927360).

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

402250464 is a wasteful number, since it uses less digits than its factorization.

402250464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 402250464 is about 20056.1826876402. The cubic root of 402250464 is about 738.1855131049.

The spelling of 402250464 in words is "four hundred two million, two hundred fifty thousand, four hundred sixty-four".