472551408 has 240 divisors, whose sum is σ = 1592398080. Its totient is φ = 132876288.

The previous prime is 472551407. The next prime is 472551421. The reversal of 472551408 is 804155274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472551407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2639863 + ... + 2640041.

It is an arithmetic number, because the mean of its divisors is an integer number (6634992).

Almost surely, 2^472551408 is an apocalyptic number.

472551408 is a gapful number since it is divisible by the number (48) 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 472551408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796199040).

472551408 is an abundant number, since it is smaller than the sum of its proper divisors (1119846672).

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

472551408 is a wasteful number, since it uses less digits than its factorization.

472551408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 472551408 is about 21738.2475834645. The cubic root of 472551408 is about 778.9023614212.

The spelling of 472551408 in words is "four hundred seventy-two million, five hundred fifty-one thousand, four hundred eight".