470615040 has 264 divisors, whose sum is σ = 1864898880. Its totient is φ = 107495424.

The previous prime is 470615039. The next prime is 470615053. The reversal of 470615040 is 40516074.

470615040 is a `hidden beast` number, since 4 + 7 + 0 + 615 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 470614995 and 470615013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321831 + ... + 323289.

Almost surely, 2^470615040 is an apocalyptic number.

470615040 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 470615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932449440).

470615040 is an abundant number, since it is smaller than the sum of its proper divisors (1394283840).

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

470615040 is a wasteful number, since it uses less digits than its factorization.

470615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 470615040 is about 21693.6635910120. The cubic root of 470615040 is about 777.8370054368.

The spelling of 470615040 in words is "four hundred seventy million, six hundred fifteen thousand, forty".