1200464460 has 432 divisors, whose sum is σ = 4348431360. Its totient is φ = 266872320.

The previous prime is 1200464449. The next prime is 1200464501. The reversal of 1200464460 is 644640021.

1200464460 is a `hidden beast` number, since 12 + 0 + 0 + 4 + 644 + 6 + 0 = 666.

It is a super-2 number, since 2×1200464460² = 2882229839446183200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17917347 + ... + 17917413.

Almost surely, 2^1200464460 is an apocalyptic number.

1200464460 is a gapful number since it is divisible by the number (10) 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 1200464460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174215680).

1200464460 is an abundant number, since it is smaller than the sum of its proper divisors (3147966900).

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

1200464460 is a wasteful number, since it uses less digits than its factorization.

1200464460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1200464460 is about 34647.7194054674. The cubic root of 1200464460 is about 1062.7956521645.

The spelling of 1200464460 in words is "one billion, two hundred million, four hundred sixty-four thousand, four hundred sixty".