29942400 has 96 divisors (see below), whose sum is σ = 98654400. Its totient is φ = 7982080.

The previous prime is 29942387. The next prime is 29942417. The reversal of 29942400 is 424992.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8041 + ... + 11159.

It is an arithmetic number, because the mean of its divisors is an integer number (1027650).

Almost surely, 2^29942400 is an apocalyptic number.

29942400 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 29942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49327200).

29942400 is an abundant number, since it is smaller than the sum of its proper divisors (68712000).

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

29942400 is a wasteful number, since it uses less digits than its factorization.

29942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 29942400 is about 5471.9649121682. The cubic root of 29942400 is about 310.5242603068.

The spelling of 29942400 in words is "twenty-nine million, nine hundred forty-two thousand, four hundred".