4660628400 has 180 divisors, whose sum is σ = 16230205992. Its totient is φ = 1238492160.

The previous prime is 4660628369. The next prime is 4660628411. The reversal of 4660628400 is 48260664.

It is a happy number.

4660628400 is a `hidden beast` number, since 4 + 6 + 606 + 2 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1103092 + ... + 1107308.

Almost surely, 2^4660628400 is an apocalyptic number.

4660628400 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 4660628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115102996).

4660628400 is an abundant number, since it is smaller than the sum of its proper divisors (11569577592).

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

4660628400 is a wasteful number, since it uses less digits than its factorization.

4660628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4660628400 is about 68268.7952142119. The cubic root of 4660628400 is about 1670.3782474762.

The spelling of 4660628400 in words is "four billion, six hundred sixty million, six hundred twenty-eight thousand, four hundred".