402647040 has 288 divisors, whose sum is σ = 1483340040. Its totient is φ = 100663296.

The previous prime is 402647033. The next prime is 402647051. The reversal of 402647040 is 40746204.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 82944 = 20064^2 + 288^2 .

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 402646995 and 402647013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566592 + ... + 1566848.

Almost surely, 2^402647040 is an apocalyptic number.

402647040 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 402647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741670020).

402647040 is an abundant number, since it is smaller than the sum of its proper divisors (1080693000).

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

402647040 is a wasteful number, since it uses less digits than its factorization.

402647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 402647040 is about 20066.0668791869. The cubic root of 402647040 is about 738.4280241200.

The spelling of 402647040 in words is "four hundred two million, six hundred forty-seven thousand, forty".