470463552 has 252 divisors, whose sum is σ = 1522750320. Its totient is φ = 143949312.

The previous prime is 470463493. The next prime is 470463557. The reversal of 470463552 is 255364074.

470463552 is a `hidden beast` number, since 47 + 0 + 4 + 63 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (470463557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2628199 + ... + 2628377.

It is an arithmetic number, because the mean of its divisors is an integer number (6042660).

Almost surely, 2^470463552 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 470463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761375160).

470463552 is an abundant number, since it is smaller than the sum of its proper divisors (1052286768).

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

470463552 is a wasteful number, since it uses less digits than its factorization.

470463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 470463552 is about 21690.1717835521. The cubic root of 470463552 is about 777.7535362120.

The spelling of 470463552 in words is "four hundred seventy million, four hundred sixty-three thousand, five hundred fifty-two".