402261552 has 400 divisors, whose sum is σ = 1512403200. Its totient is φ = 100154880.

The previous prime is 402261551. The next prime is 402261623. The reversal of 402261552 is 255162204.

402261552 is a `hidden beast` number, since 40 + 2 + 2 + 615 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402261551) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2893899 + ... + 2894037.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^402261552 is an apocalyptic number.

402261552 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 402261552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756201600).

402261552 is an abundant number, since it is smaller than the sum of its proper divisors (1110141648).

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

402261552 is a wasteful number, since it uses less digits than its factorization.

402261552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 402261552 is about 20056.4591092246. The cubic root of 402261552 is about 738.1922957163.

The spelling of 402261552 in words is "four hundred two million, two hundred sixty-one thousand, five hundred fifty-two".