29964480 has 280 divisors, whose sum is σ = 119524272. Its totient is φ = 6322176.

The previous prime is 29964479. The next prime is 29964527. The reversal of 29964480 is 8446992.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2304954 + ... + 2304966.

Almost surely, 2^29964480 is an apocalyptic number.

29964480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59762136).

29964480 is an abundant number, since it is smaller than the sum of its proper divisors (89559792).

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

29964480 is an equidigital number, since it uses as much as digits as its factorization.

29964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 29964480 is about 5473.9820971574. The cubic root of 29964480 is about 310.6005700552.

The spelling of 29964480 in words is "twenty-nine million, nine hundred sixty-four thousand, four hundred eighty".