474007820 has 216 divisors, whose sum is σ = 1267575120. Its totient is φ = 148262400.

The previous prime is 474007819. The next prime is 474007823. The reversal of 474007820 is 28700474.

It is not an unprimeable number, because it can be changed into a prime (474007823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7770590 + ... + 7770650.

Almost surely, 2^474007820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474007820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633787560).

474007820 is an abundant number, since it is smaller than the sum of its proper divisors (793567300).

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

474007820 is a wasteful number, since it uses less digits than its factorization.

474007820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 474007820 is about 21771.7206485845. The cubic root of 474007820 is about 779.7017378147.

The spelling of 474007820 in words is "four hundred seventy-four million, seven thousand, eight hundred twenty".