470761632 has 360 divisors, whose sum is σ = 1622174400. Its totient is φ = 133436160.

The previous prime is 470761607. The next prime is 470761657. The reversal of 470761632 is 236167074.

470761632 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 616 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (470761607) and next prime (470761657).

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5958969 + ... + 5959047.

It is an arithmetic number, because the mean of its divisors is an integer number (4506040).

Almost surely, 2^470761632 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 470761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811087200).

470761632 is an abundant number, since it is smaller than the sum of its proper divisors (1151412768).

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

470761632 is a wasteful number, since it uses less digits than its factorization.

470761632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 470761632 is about 21697.0420103755. The cubic root of 470761632 is about 777.9177599357.

The spelling of 470761632 in words is "four hundred seventy million, seven hundred sixty-one thousand, six hundred thirty-two".