10029480 has 32 divisors (see below), whose sum is σ = 30088800. Its totient is φ = 2674496.

The previous prime is 10029451. The next prime is 10029497. The reversal of 10029480 is 8492001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10029480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41670 + ... + 41909.

It is an arithmetic number, because the mean of its divisors is an integer number (940275).

Almost surely, 2^10029480 is an apocalyptic number.

10029480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10029480 is an abundant number, since it is smaller than the sum of its proper divisors (20059320).

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

10029480 is a wasteful number, since it uses less digits than its factorization.

10029480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83593 (or 83589 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10029480 is about 3166.9354271914. The cubic root of 10029480 is about 215.6549704193.

The spelling of 10029480 in words is "ten million, twenty-nine thousand, four hundred eighty".