402235776 has 384 divisors, whose sum is σ = 1374796800. Its totient is φ = 111919104.

The previous prime is 402235751. The next prime is 402235831. The reversal of 402235776 is 677532204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 402235776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8558185 + ... + 8558231.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^402235776 is an apocalyptic number.

402235776 is a gapful number since it is divisible by the number (46) 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 402235776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

402235776 is an abundant number, since it is smaller than the sum of its proper divisors (972561024).

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

402235776 is a wasteful number, since it uses less digits than its factorization.

402235776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 402235776 is about 20055.8165129221. The cubic root of 402235776 is about 738.1765281550.

The spelling of 402235776 in words is "four hundred two million, two hundred thirty-five thousand, seven hundred seventy-six".