4792464 has 60 divisors (see below), whose sum is σ = 14005056. Its totient is φ = 1526976.

The previous prime is 4792457. The next prime is 4792471. The reversal of 4792464 is 4642974.

It is an interprime number because it is at equal distance from previous prime (4792457) and next prime (4792471).

It is a super-2 number, since 2×4792464² = 45935422382592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁵ + 7 + 9⁷ + 2¹¹ + 4⁵ + 6⁴ + 4⁶ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2589 + ... + 4035.

Almost surely, 2^4792464 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 4792464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7002528).

4792464 is an abundant number, since it is smaller than the sum of its proper divisors (9212592).

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

4792464 is a wasteful number, since it uses less digits than its factorization.

4792464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1475 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4792464 is about 2189.1697056190. The cubic root of 4792464 is about 168.5982075349.

The spelling of 4792464 in words is "four million, seven hundred ninety-two thousand, four hundred sixty-four".