470251008 has 400 divisors, whose sum is σ = 1604227680. Its totient is φ = 136249344.

The previous prime is 470250973. The next prime is 470251049. The reversal of 470251008 is 800152074.

It is a super-2 number, since 2×470251008² = 442272021050032128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16215538 + ... + 16215566.

Almost surely, 2^470251008 is an apocalyptic number.

470251008 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 470251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802113840).

470251008 is an abundant number, since it is smaller than the sum of its proper divisors (1133976672).

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

470251008 is a wasteful number, since it uses less digits than its factorization.

470251008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 470251008 is about 21685.2716837950. The cubic root of 470251008 is about 777.6363951872.

The spelling of 470251008 in words is "four hundred seventy million, two hundred fifty-one thousand, eight".