29142480 has 80 divisors (see below), whose sum is σ = 93279744. Its totient is φ = 7518720.

The previous prime is 29142469. The next prime is 29142481. The reversal of 29142480 is 8424192.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29142481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5482 + ... + 9398.

Almost surely, 2^29142480 is an apocalyptic number.

29142480 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 29142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46639872).

29142480 is an abundant number, since it is smaller than the sum of its proper divisors (64137264).

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

29142480 is a wasteful number, since it uses less digits than its factorization.

29142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 29142480 is about 5398.3775340374. The cubic root of 29142480 is about 307.7340144747.

The spelling of 29142480 in words is "twenty-nine million, one hundred forty-two thousand, four hundred eighty".