4670400 has 168 divisors, whose sum is σ = 17637760. Its totient is φ = 1059840.

The previous prime is 4670387. The next prime is 4670411. The reversal of 4670400 is 40764.

4670400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33531 + ... + 33669.

Almost surely, 2^4670400 is an apocalyptic number.

4670400 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 4670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8818880).

4670400 is an abundant number, since it is smaller than the sum of its proper divisors (12967360).

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

4670400 is a wasteful number, since it uses less digits than its factorization.

4670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4670400 is about 2161.1108254784. The cubic root of 4670400 is about 167.1544819357.

The spelling of 4670400 in words is "four million, six hundred seventy thousand, four hundred".