24792480 has 120 divisors (see below), whose sum is σ = 87542532. Its totient is φ = 6607872.

The previous prime is 24792461. The next prime is 24792487. The reversal of 24792480 is 8429742.

It can be written as a sum of positive squares in 2 ways, for example, as 24324624 + 467856 = 4932^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×24792480² = 1229334129100800, which contains 22 as substring.

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 (24792487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12004 + ... + 13916.

Almost surely, 2^24792480 is an apocalyptic number.

24792480 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 24792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43771266).

24792480 is an abundant number, since it is smaller than the sum of its proper divisors (62750052).

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

24792480 is a wasteful number, since it uses less digits than its factorization.

24792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 24792480 is about 4979.2047557818. The cubic root of 24792480 is about 291.5904686210.

It can be divided in two parts, 247924 and 80, that added together give a square (248004 = 498²).

The spelling of 24792480 in words is "twenty-four million, seven hundred ninety-two thousand, four hundred eighty".