29900480 has 112 divisors (see below), whose sum is σ = 76041504. Its totient is φ = 11182080.

The previous prime is 29900459. The next prime is 29900489. The reversal of 29900480 is 8400992.

29900480 = 416² + 417² + ... + 544².

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (29900489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564134 + ... + 564186.

It is an arithmetic number, because the mean of its divisors is an integer number (678942).

Almost surely, 2^29900480 is an apocalyptic number.

29900480 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 29900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38020752).

29900480 is an abundant number, since it is smaller than the sum of its proper divisors (46141024).

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

29900480 is a wasteful number, since it uses less digits than its factorization.

29900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 29900480 is about 5468.1331366381. The cubic root of 29900480 is about 310.3792790929.

The spelling of 29900480 in words is "twenty-nine million, nine hundred thousand, four hundred eighty".