4628920 has 32 divisors (see below), whose sum is σ = 10753920. Its totient is φ = 1791360.

The previous prime is 4628917. The next prime is 4628929. The reversal of 4628920 is 298264.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628929) 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, 627 + ... + 3106.

It is an arithmetic number, because the mean of its divisors is an integer number (336060).

Almost surely, 2^4628920 is an apocalyptic number.

4628920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4628920 is an abundant number, since it is smaller than the sum of its proper divisors (6125000).

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

4628920 is a wasteful number, since it uses less digits than its factorization.

4628920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4628920 is about 2151.4925052159. The cubic root of 4628920 is about 166.6581506760.

The spelling of 4628920 in words is "four million, six hundred twenty-eight thousand, nine hundred twenty".