46294416 has 165 divisors, whose sum is σ = 156508491. Its totient is φ = 13226976.

The previous prime is 46294399. The next prime is 46294447. The reversal of 46294416 is 61449264.

The square root of 46294416 is 6804.

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

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

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

Its product of digits (41472) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 6613485 + ... + 6613491.

Almost surely, 2^46294416 is an apocalyptic number.

46294416 is the 6804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46294416

46294416 is an abundant number, since it is smaller than the sum of its proper divisors (110214075).

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

46294416 is an frugal number, since it uses more digits than its factorization.

46294416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 12 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 46294416 is about 359.0675871022.

Multiplying 46294416 by its sum of digits (36), we get a square (1666598976 = 40824²).

46294416 divided by its sum of digits (36) gives a square (1285956 = 1134²).

It can be divided in two parts, 4629 and 4416, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 46294416 in words is "forty-six million, two hundred ninety-four thousand, four hundred sixteen".