402995040 has 384 divisors, whose sum is σ = 1546739712. Its totient is φ = 86261760.

The previous prime is 402994981. The next prime is 402995041. The reversal of 402995040 is 40599204.

It is a junction number, because it is equal to n+sod(n) for n = 402994992 and 402995010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402995041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5520444 + ... + 5520516.

It is an arithmetic number, because the mean of its divisors is an integer number (4027968).

Almost surely, 2^402995040 is an apocalyptic number.

402995040 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 402995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773369856).

402995040 is an abundant number, since it is smaller than the sum of its proper divisors (1143744672).

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

402995040 is a wasteful number, since it uses less digits than its factorization.

402995040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 402995040 is about 20074.7363619052. The cubic root of 402995040 is about 738.6406991846.

The spelling of 402995040 in words is "four hundred two million, nine hundred ninety-five thousand, forty".