474412646400 has 1536 divisors, whose sum is σ = 2059539609600. Its totient is φ = 93428121600.

The previous prime is 474412646333. The next prime is 474412646401. The reversal of 474412646400 is 4646214474.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (474412646401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4352409546 + ... + 4352409654.

It is an arithmetic number, because the mean of its divisors is an integer number (1340846100).

Almost surely, 2^474412646400 is an apocalyptic number.

474412646400 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 474412646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029769804800).

474412646400 is an abundant number, since it is smaller than the sum of its proper divisors (1585126963200).

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

474412646400 is a wasteful number, since it uses less digits than its factorization.

474412646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 474412646400 in words is "four hundred seventy-four billion, four hundred twelve million, six hundred forty-six thousand, four hundred".