385572496 has 15 divisors (see below), whose sum is σ = 747198921. Its totient is φ = 192746976.

The previous prime is 385572457. The next prime is 385572497. The reversal of 385572496 is 694275583.

The square root of 385572496 is 19636.

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

It can be written as a sum of positive squares in only one way, i.e., 382750096 + 2822400 = 19564^2 + 1680^2 .

It is a super-2 number, since 2×385572496² = 297332299343340032, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385572497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 76090 + ... + 80998.

Almost surely, 2^385572496 is an apocalyptic number.

385572496 is the 19636-th square number.

It is an amenable number.

385572496 is a deficient number, since it is larger than the sum of its proper divisors (361626425).

385572496 is an frugal number, since it uses more digits than its factorization.

385572496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 4911 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

The cubic root of 385572496 is about 727.8390438350.

Multiplying 385572496 by its sum of digits (49), we get a square (18893052304 = 137452²).

The spelling of 385572496 in words is "three hundred eighty-five million, five hundred seventy-two thousand, four hundred ninety-six".