7042464 has 240 divisors, whose sum is σ = 25613280. Its totient is φ = 1866240.

The previous prime is 7042459. The next prime is 7042493. The reversal of 7042464 is 4642407.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370647 + ... + 370665.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

Almost surely, 2^7042464 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 7042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806640).

7042464 is an abundant number, since it is smaller than the sum of its proper divisors (18570816).

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

7042464 is a wasteful number, since it uses less digits than its factorization.

7042464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 7042464 is about 2653.7641191334. The cubic root of 7042464 is about 191.6791516337.

The spelling of 7042464 in words is "seven million, forty-two thousand, four hundred sixty-four".