402788480400 has 90 divisors (see below), whose sum is σ = 1397787925170. Its totient is φ = 107410260480.

The previous prime is 402788480387. The next prime is 402788480447. The reversal of 402788480400 is 4084887204.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 242064 + 402788238336 = 492^2 + 634656^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55939245 + ... + 55946444.

Almost surely, 2^402788480400 is an apocalyptic number.

402788480400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402788480400 is an abundant number, since it is smaller than the sum of its proper divisors (994999444770).

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

402788480400 is a wasteful number, since it uses less digits than its factorization.

402788480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111885713 (or 111885699 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 402788480400 in words is "four hundred two billion, seven hundred eighty-eight million, four hundred eighty thousand, four hundred".