402913440 has 288 divisors, whose sum is σ = 1465079616. Its totient is φ = 104509440.

The previous prime is 402913439. The next prime is 402913463. The reversal of 402913440 is 44319204.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 1671720 + ... + 1671960.

It is an arithmetic number, because the mean of its divisors is an integer number (5087082).

Almost surely, 2^402913440 is an apocalyptic number.

402913440 is a gapful number since it is divisible by the number (40) 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 402913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732539808).

402913440 is an abundant number, since it is smaller than the sum of its proper divisors (1062166176).

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

402913440 is a wasteful number, since it uses less digits than its factorization.

402913440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 402913440 is about 20072.7038537413. The cubic root of 402913440 is about 738.5908415407.

The spelling of 402913440 in words is "four hundred two million, nine hundred thirteen thousand, four hundred forty".