4957000 has 32 divisors (see below), whose sum is σ = 11601720. Its totient is φ = 1982400.

The previous prime is 4956977. The next prime is 4957019. The reversal of 4957000 is 7594.

It can be written as a sum of positive squares in 4 ways, for example, as 2377764 + 2579236 = 1542^2 + 1606^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1479 + ... + 3478.

Almost surely, 2^4957000 is an apocalyptic number.

4957000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4957000 is an abundant number, since it is smaller than the sum of its proper divisors (6644720).

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

4957000 is a wasteful number, since it uses less digits than its factorization.

4957000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4964 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 4957000 is about 2226.4321233759. The cubic root of 4957000 is about 170.5059895902.

The spelling of 4957000 in words is "four million, nine hundred fifty-seven thousand".