29401920 has 224 divisors, whose sum is σ = 107533440. Its totient is φ = 7557120.

The previous prime is 29401913. The next prime is 29401927. The reversal of 29401920 is 2910492.

It is an interprime number because it is at equal distance from previous prime (29401913) and next prime (29401927).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29401927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354199 + ... + 354281.

It is an arithmetic number, because the mean of its divisors is an integer number (480060).

Almost surely, 2^29401920 is an apocalyptic number.

29401920 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 29401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

29401920 is an abundant number, since it is smaller than the sum of its proper divisors (78131520).

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

29401920 is a wasteful number, since it uses less digits than its factorization.

29401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29401920 is about 5422.3537324671. The cubic root of 29401920 is about 308.6445153155.

The spelling of 29401920 in words is "twenty-nine million, four hundred one thousand, nine hundred twenty".