4672600 has 48 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 1833600.

The previous prime is 4672597. The next prime is 4672607. The reversal of 4672600 is 62764.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4672607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12009 + ... + 12391.

It is an arithmetic number, because the mean of its divisors is an integer number (230640).

Almost surely, 2^4672600 is an apocalyptic number.

4672600 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 4672600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

4672600 is an abundant number, since it is smaller than the sum of its proper divisors (6398120).

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

4672600 is a wasteful number, since it uses less digits than its factorization.

4672600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 4672600 is about 2161.6197630481. The cubic root of 4672600 is about 167.1807239517.

The spelling of 4672600 in words is "four million, six hundred seventy-two thousand, six hundred".