4780370400 has 576 divisors, whose sum is σ = 17804235456. Its totient is φ = 1105920000.

The previous prime is 4780370377. The next prime is 4780370443. The reversal of 4780370400 is 40730874.

It is a happy number.

It is a super-2 number, since 2×4780370400² = 45703882322392320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47330350 + ... + 47330450.

It is an arithmetic number, because the mean of its divisors is an integer number (30910131).

Almost surely, 2^4780370400 is an apocalyptic number.

4780370400 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 4780370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8902117728).

4780370400 is an abundant number, since it is smaller than the sum of its proper divisors (13023865056).

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

4780370400 is a wasteful number, since it uses less digits than its factorization.

4780370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 4780370400 is about 69140.2227361179. Note that the first 3 decimals coincide. The cubic root of 4780370400 is about 1684.5627103001.

The spelling of 4780370400 in words is "four billion, seven hundred eighty million, three hundred seventy thousand, four hundred".