402511680 has 280 divisors, whose sum is σ = 1463798952. Its totient is φ = 104951808.

The previous prime is 402511663. The next prime is 402511699. The reversal of 402511680 is 86115204.

It can be written as a sum of positive squares in 4 ways, for example, as 171714816 + 230796864 = 13104^2 + 15192^2 .

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 39 ways as a sum of consecutive naturals, for example, 1373614 + ... + 1373906.

Almost surely, 2^402511680 is an apocalyptic number.

402511680 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 402511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731899476).

402511680 is an abundant number, since it is smaller than the sum of its proper divisors (1061287272).

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

402511680 is a wasteful number, since it uses less digits than its factorization.

402511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 402511680 is about 20062.6937373823. The cubic root of 402511680 is about 738.3452677518.

Adding to 402511680 its reverse (86115204), we get a palindrome (488626884).

The spelling of 402511680 in words is "four hundred two million, five hundred eleven thousand, six hundred eighty".