4628001 has 24 divisors (see below), whose sum is σ = 7560480. Its totient is φ = 2503872.

The previous prime is 4627943. The next prime is 4628003. The reversal of 4628001 is 1008264.

4628001 = 283² + 284² + ... + 331².

It is not a de Polignac number, because 4628001 - 2⁶ = 4627937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

4628001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4628003) 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, 1965 + ... + 3621.

It is an arithmetic number, because the mean of its divisors is an integer number (315020).

Almost surely, 2^4628001 is an apocalyptic number.

It is an amenable number.

4628001 is a deficient number, since it is larger than the sum of its proper divisors (2932479).

4628001 is a wasteful number, since it uses less digits than its factorization.

4628001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4628001 is about 2151.2789219439. The cubic root of 4628001 is about 166.6471208190.

The spelling of 4628001 in words is "four million, six hundred twenty-eight thousand, one".