474304220972400 has 960 divisors, whose sum is σ = 1959107896180736. Its totient is φ = 95399327232000.

The previous prime is 474304220972383. The next prime is 474304220972411. The reversal of 474304220972400 is 4279022403474.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 474304220972400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225762795 + ... + 227854005.

Almost surely, 2^{474304220972400} is an apocalyptic number.

474304220972400 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 474304220972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979553948090368).

474304220972400 is an abundant number, since it is smaller than the sum of its proper divisors (1484803675208336).

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

474304220972400 is a wasteful number, since it uses less digits than its factorization.

474304220972400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091350 (or 2091339 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 474304220972400 in words is "four hundred seventy-four trillion, three hundred four billion, two hundred twenty million, nine hundred seventy-two thousand, four hundred".