402477984 has 144 divisors (see below), whose sum is σ = 1205305920. Its totient is φ = 132269760.

The previous prime is 402477973. The next prime is 402478001. The reversal of 402477984 is 489774204.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5668669 + ... + 5668739.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^402477984 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 402477984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602652960).

402477984 is an abundant number, since it is smaller than the sum of its proper divisors (802827936).

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

402477984 is an frugal number, since it uses more digits than its factorization.

402477984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 402477984 is about 20061.8539522149. The cubic root of 402477984 is about 738.3246638144.

The spelling of 402477984 in words is "four hundred two million, four hundred seventy-seven thousand, nine hundred eighty-four".