402176640 has 256 divisors, whose sum is σ = 1374796800. Its totient is φ = 99778560.

The previous prime is 402176639. The next prime is 402176641. The reversal of 402176640 is 46671204.

It is an interprime number because it is at equal distance from previous prime (402176639) and next prime (402176641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 402176598 and 402176607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402176641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725964 + ... + 1726196.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2^402176640 is an apocalyptic number.

402176640 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 402176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

402176640 is an abundant number, since it is smaller than the sum of its proper divisors (972620160).

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

402176640 is a wasteful number, since it uses less digits than its factorization.

402176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 402176640 is about 20054.3421732053. The cubic root of 402176640 is about 738.1403512416.

The spelling of 402176640 in words is "four hundred two million, one hundred seventy-six thousand, six hundred forty".