472408278720 has 336 divisors, whose sum is σ = 1785361171968. Its totient is φ = 105467443200.

The previous prime is 472408278689. The next prime is 472408278733. The reversal of 472408278720 is 27872804274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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, 1905945 + ... + 2139495.

Almost surely, 2^472408278720 is an apocalyptic number.

472408278720 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 472408278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892680585984).

472408278720 is an abundant number, since it is smaller than the sum of its proper divisors (1312952893248).

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

472408278720 is a wasteful number, since it uses less digits than its factorization.

472408278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233628 (or 233611 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 51.

The spelling of 472408278720 in words is "four hundred seventy-two billion, four hundred eight million, two hundred seventy-eight thousand, seven hundred twenty".