470542864 has 135 divisors (see below), whose sum is σ = 1102477831. Its totient is φ = 194360320.

The previous prime is 470542861. The next prime is 470542867. The reversal of 470542864 is 468245074.

It is a happy number.

The square root of 470542864 is 21692.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (470542861) and next prime (470542867).

It can be written as a sum of positive squares in 4 ways, for example, as 46512400 + 424030464 = 6820^2 + 20592^2 .

It is a super-2 number, since 2×470542864² = 442821173722644992, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (470542861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16225602 + ... + 16225630.

Almost surely, 2^470542864 is an apocalyptic number.

470542864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

470542864 is the 21692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470542864

470542864 is an abundant number, since it is smaller than the sum of its proper divisors (631934967).

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

470542864 is a wasteful number, since it uses less digits than its factorization.

470542864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The cubic root of 470542864 is about 777.7972390112.

The spelling of 470542864 in words is "four hundred seventy million, five hundred forty-two thousand, eight hundred sixty-four".