402978144 has 48 divisors (see below), whose sum is σ = 1113497280. Its totient is φ = 127255680.

The previous prime is 402978119. The next prime is 402978151. The reversal of 402978144 is 441879204.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108642 + ... + 112289.

It is an arithmetic number, because the mean of its divisors is an integer number (23197860).

Almost surely, 2^402978144 is an apocalyptic number.

It is an amenable number.

402978144 is an abundant number, since it is smaller than the sum of its proper divisors (710519136).

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

402978144 is a wasteful number, since it uses less digits than its factorization.

402978144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220963 (or 220955 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 402978144 is about 20074.3155300498. The cubic root of 402978144 is about 738.6303762720.

The spelling of 402978144 in words is "four hundred two million, nine hundred seventy-eight thousand, one hundred forty-four".