4600212480 has 352 divisors, whose sum is σ = 16554170880. Its totient is φ = 1211351040.

The previous prime is 4600212439. The next prime is 4600212511. The reversal of 4600212480 is 842120064.

4600212480 is a `hidden beast` number, since 4 + 600 + 2 + 12 + 48 + 0 = 666.

It is a super-2 number, since 2×4600212480² = 42323909722295500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14791525 + ... + 14791835.

Almost surely, 2^4600212480 is an apocalyptic number.

4600212480 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 4600212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8277085440).

4600212480 is an abundant number, since it is smaller than the sum of its proper divisors (11953958400).

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

4600212480 is a wasteful number, since it uses less digits than its factorization.

4600212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4600212480 is about 67824.8662365065. The cubic root of 4600212480 is about 1663.1291054198.

The spelling of 4600212480 in words is "four billion, six hundred million, two hundred twelve thousand, four hundred eighty".