29542464 has 168 divisors, whose sum is σ = 102705408. Its totient is φ = 7925760.

The previous prime is 29542463. The next prime is 29542477. The reversal of 29542464 is 46424592.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29542463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68329 + ... + 68759.

Almost surely, 2^29542464 is an apocalyptic number.

29542464 is a gapful number since it is divisible by the number (24) 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 29542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51352704).

29542464 is an abundant number, since it is smaller than the sum of its proper divisors (73162944).

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

29542464 is a wasteful number, since it uses less digits than its factorization.

29542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 29542464 is about 5435.2979679131. The cubic root of 29542464 is about 309.1355172695.

The spelling of 29542464 in words is "twenty-nine million, five hundred forty-two thousand, four hundred sixty-four".