4670870400 has 384 divisors, whose sum is σ = 19538630400. Its totient is φ = 1067489280.

The previous prime is 4670870381. The next prime is 4670870437. The reversal of 4670870400 is 40780764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600939 + ... + 608661.

It is an arithmetic number, because the mean of its divisors is an integer number (50881850).

Almost surely, 2^4670870400 is an apocalyptic number.

4670870400 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 4670870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769315200).

4670870400 is an abundant number, since it is smaller than the sum of its proper divisors (14867760000).

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

4670870400 is a wasteful number, since it uses less digits than its factorization.

4670870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4670870400 is about 68343.7663580227. The cubic root of 4670870400 is about 1671.6009364838.

The spelling of 4670870400 in words is "four billion, six hundred seventy million, eight hundred seventy thousand, four hundred".