385415424 has 81 divisors (see below), whose sum is σ = 1113971313. Its totient is φ = 128157696.

The previous prime is 385415419. The next prime is 385415497. The reversal of 385415424 is 424514583.

It is a happy number.

The square root of 385415424 is 19632.

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., 352237824 + 33177600 = 18768^2 + 5760^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 942132 + ... + 942540.

Almost surely, 2^385415424 is an apocalyptic number.

385415424 is the 19632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385415424

385415424 is an abundant number, since it is smaller than the sum of its proper divisors (728555889).

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

385415424 is an frugal number, since it uses more digits than its factorization.

385415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 414 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The cubic root of 385415424 is about 727.7401963091.

Multiplying 385415424 by its sum of digits (36), we get a square (13874955264 = 117792²).

385415424 divided by its sum of digits (36) gives a square (10705984 = 3272²).

The spelling of 385415424 in words is "three hundred eighty-five million, four hundred fifteen thousand, four hundred twenty-four".