402070480 has 120 divisors (see below), whose sum is σ = 1098579240. Its totient is φ = 136442880.

The previous prime is 402070469. The next prime is 402070481. The reversal of 402070480 is 84070204.

It can be written as a sum of positive squares in 4 ways, for example, as 86936976 + 315133504 = 9324^2 + 17752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402070481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426810 + ... + 427750.

It is an arithmetic number, because the mean of its divisors is an integer number (9154827).

Almost surely, 2^402070480 is an apocalyptic number.

402070480 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 402070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549289620).

402070480 is an abundant number, since it is smaller than the sum of its proper divisors (696508760).

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

402070480 is a wasteful number, since it uses less digits than its factorization.

402070480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 402070480 is about 20051.6951901828. The cubic root of 402070480 is about 738.0753981275.

The spelling of 402070480 in words is "four hundred two million, seventy thousand, four hundred eighty".