4677485400 has 768 divisors, whose sum is σ = 20248704000. Its totient is φ = 967680000.

The previous prime is 4677485387. The next prime is 4677485443. The reversal of 4677485400 is 45847764.

4677485400 is a `hidden beast` number, since 4 + 67 + 7 + 48 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18635275 + ... + 18635525.

It is an arithmetic number, because the mean of its divisors is an integer number (26365500).

Almost surely, 2^4677485400 is an apocalyptic number.

4677485400 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 4677485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352000).

4677485400 is an abundant number, since it is smaller than the sum of its proper divisors (15571218600).

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

4677485400 is a wasteful number, since it uses less digits than its factorization.

4677485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 4677485400 is about 68392.1442857292. The cubic root of 4677485400 is about 1672.3896848553.

The spelling of 4677485400 in words is "four billion, six hundred seventy-seven million, four hundred eighty-five thousand, four hundred".