29246464 has 55 divisors (see below), whose sum is σ = 63336227. Its totient is φ = 13498368.

The previous prime is 29246429. The next prime is 29246467. The reversal of 29246464 is 46464292.

The square root of 29246464 is 5408.

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

It can be written as a sum of positive squares in 2 ways, for example, as 14500864 + 14745600 = 3808^2 + 3840^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=52.

It is a Duffinian number.

Its product of digits (82944) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (29246467) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 2249722 + ... + 2249734.

Almost surely, 2^29246464 is an apocalyptic number.

29246464 is the 5408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29246464

29246464 is an abundant number, since it is smaller than the sum of its proper divisors (34089763).

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

29246464 is an frugal number, since it uses more digits than its factorization.

29246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 15 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The cubic root of 29246464 is about 308.0995911144.

Multiplying 29246464 by its product of digits (82944), we get a 4-th power (2425818710016 = 1248⁴).

The spelling of 29246464 in words is "twenty-nine million, two hundred forty-six thousand, four hundred sixty-four".