7954464 has 144 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 2128896.

The previous prime is 7954459. The next prime is 7954469. The reversal of 7954464 is 4644597.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7954459) and next prime (7954469).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

Its product of digits (120960) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7954469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89332 + ... + 89420.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^7954464 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 7954464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

7954464 is an abundant number, since it is smaller than the sum of its proper divisors (17900736).

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

7954464 is a wasteful number, since it uses less digits than its factorization.

7954464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 7954464 is about 2820.3659337043. The cubic root of 7954464 is about 199.6198110732.

The spelling of 7954464 in words is "seven million, nine hundred fifty-four thousand, four hundred sixty-four".