29948464 has 80 divisors (see below), whose sum is σ = 72717568. Its totient is φ = 11632896.

The previous prime is 29948453. The next prime is 29948473. The reversal of 29948464 is 46484992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97399 + ... + 97705.

Almost surely, 2^29948464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29948464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36358784).

29948464 is an abundant number, since it is smaller than the sum of its proper divisors (42769104).

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

29948464 is a wasteful number, since it uses less digits than its factorization.

29948464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 29948464 is about 5472.5189812371. The cubic root of 29948464 is about 310.5452215748.

The spelling of 29948464 in words is "twenty-nine million, nine hundred forty-eight thousand, four hundred sixty-four".