402135552 has 360 divisors, whose sum is σ = 1464539076. Its totient is φ = 105283584.

The previous prime is 402135533. The next prime is 402135571. The reversal of 402135552 is 255531204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (402135533) and next prime (402135571).

It can be written as a sum of positive squares in 2 ways, for example, as 392990976 + 9144576 = 19824^2 + 3024^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2935228 + ... + 2935364.

Almost surely, 2^402135552 is an apocalyptic number.

402135552 is a gapful number since it is divisible by the number (42) 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 402135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732269538).

402135552 is an abundant number, since it is smaller than the sum of its proper divisors (1062403524).

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

402135552 is a wasteful number, since it uses less digits than its factorization.

402135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 402135552 is about 20053.3177304904. The cubic root of 402135552 is about 738.1152132461.

Adding to 402135552 its reverse (255531204), we get a palindrome (657666756).

The spelling of 402135552 in words is "four hundred two million, one hundred thirty-five thousand, five hundred fifty-two".