414692496 has 45 divisors (see below), whose sum is σ = 1161247321. Its totient is φ = 138149376.

The previous prime is 414692429. The next prime is 414692497. The reversal of 414692496 is 694296414.

The square root of 414692496 is 20364.

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., 399200400 + 15492096 = 19980^2 + 3936^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414692497) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 243520 + ... + 245216.

Almost surely, 2^414692496 is an apocalyptic number.

414692496 is the 20364-th square number.

It is an amenable number.

414692496 is an abundant number, since it is smaller than the sum of its proper divisors (746554825).

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

414692496 is an equidigital number, since it uses as much as digits as its factorization.

414692496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 1702 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The cubic root of 414692496 is about 745.7193154698.

The spelling of 414692496 in words is "four hundred fourteen million, six hundred ninety-two thousand, four hundred ninety-six".