7874464 has 48 divisors (see below), whose sum is σ = 17442432. Its totient is φ = 3472128.

The previous prime is 7874431. The next prime is 7874467. The reversal of 7874464 is 4644787.

It is a d-powerful number, because it can be written as 7 + 8⁷ + 7⁸ + 4⁶ + 4⁶ + 6³ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7874467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9157 + ... + 9979.

It is an arithmetic number, because the mean of its divisors is an integer number (363384).

Almost surely, 2^7874464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7874464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8721216).

7874464 is an abundant number, since it is smaller than the sum of its proper divisors (9567968).

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

7874464 is a wasteful number, since it uses less digits than its factorization.

7874464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its digits is 150528, while the sum is 40.

The square root of 7874464 is about 2806.1475371049. The cubic root of 7874464 is about 198.9483464836.

It can be divided in two parts, 7874 and 464, that added together give a palindrome (8338).

The spelling of 7874464 in words is "seven million, eight hundred seventy-four thousand, four hundred sixty-four".