402161760 has 960 divisors, whose sum is σ = 1967099904. Its totient is φ = 74649600.

The previous prime is 402161737. The next prime is 402161777. The reversal of 402161760 is 67161204.

402161760 is a `hidden beast` number, since 40 + 2 + 1 + 617 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972945 + ... + 12972975.

Almost surely, 2^402161760 is an apocalyptic number.

402161760 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 402161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983549952).

402161760 is an abundant number, since it is smaller than the sum of its proper divisors (1564938144).

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

402161760 is a wasteful number, since it uses less digits than its factorization.

402161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 402161760 is about 20053.9711777992. The cubic root of 402161760 is about 738.1312477260.

The spelling of 402161760 in words is "four hundred two million, one hundred sixty-one thousand, seven hundred sixty".