4642920 has 80 divisors (see below), whose sum is σ = 15616260. Its totient is φ = 1237248.

The previous prime is 4642907. The next prime is 4642927. The reversal of 4642920 is 292464.

4642920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 54756 = 2142^2 + 234^2 .

It is a super-2 number, since 2×4642920² = 43113412252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4642927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2524 + ... + 3956.

Almost surely, 2^4642920 is an apocalyptic number.

4642920 is a gapful number since it is divisible by the number (40) 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 4642920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808130).

4642920 is an abundant number, since it is smaller than the sum of its proper divisors (10973340).

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

4642920 is a wasteful number, since it uses less digits than its factorization.

4642920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4642920 is about 2154.7436042369. The cubic root of 4642920 is about 166.8259987423.

The spelling of 4642920 in words is "four million, six hundred forty-two thousand, nine hundred twenty".