353590416 has 45 divisors (see below), whose sum is σ = 990193971. Its totient is φ = 117788256.

The previous prime is 353590403. The next prime is 353590421. The reversal of 353590416 is 614095353.

The square root of 353590416 is 18804.

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

353590416 is a `hidden beast` number, since 3 + 53 + 590 + 4 + 16 = 666.

It is a super-3 number, since 3×353590416³ (a number of 27 digits) contains 333 as substring.

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, 224865 + ... + 226431.

Almost surely, 2^353590416 is an apocalyptic number.

353590416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

353590416 is the 18804-th square number.

It is an amenable number.

353590416 is an abundant number, since it is smaller than the sum of its proper divisors (636603555).

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

353590416 is an equidigital number, since it uses as much as digits as its factorization.

353590416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The cubic root of 353590416 is about 707.1314639294.

Multiplying 353590416 by its sum of digits (36), we get a square (12729254976 = 112824²).

353590416 divided by its sum of digits (36) gives a square (9821956 = 3134²).

The spelling of 353590416 in words is "three hundred fifty-three million, five hundred ninety thousand, four hundred sixteen".