24978440 has 64 divisors (see below), whose sum is σ = 60231600. Its totient is φ = 9289728.

The previous prime is 24978431. The next prime is 24978449. The reversal of 24978440 is 4487942.

It is an interprime number because it is at equal distance from previous prime (24978431) and next prime (24978449).

It can be written as a sum of positive squares in 8 ways, for example, as 13942756 + 11035684 = 3734^2 + 3322^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 24978394 and 24978403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24978449) 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, 73952 + ... + 74288.

Almost surely, 2^24978440 is an apocalyptic number.

24978440 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 24978440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30115800).

24978440 is an abundant number, since it is smaller than the sum of its proper divisors (35253160).

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

24978440 is a wasteful number, since it uses less digits than its factorization.

24978440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 24978440 is about 4997.8435349659. The cubic root of 24978440 is about 292.3176938832.

The spelling of 24978440 in words is "twenty-four million, nine hundred seventy-eight thousand, four hundred forty".