1460461212 has 192 divisors, whose sum is σ = 4518420480. Its totient is φ = 399168000.

The previous prime is 1460461193. The next prime is 1460461231. The reversal of 1460461212 is 2121640641.

1460461212 is a `hidden beast` number, since 1 + 46 + 0 + 4 + 612 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1460461193) and next prime (1460461231).

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

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 63 ways as a sum of consecutive naturals, for example, 2366728 + ... + 2367344.

It is an arithmetic number, because the mean of its divisors is an integer number (23533440).

Almost surely, 2^1460461212 is an apocalyptic number.

1460461212 is a gapful number since it is divisible by the number (12) 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 1460461212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259210240).

1460461212 is an abundant number, since it is smaller than the sum of its proper divisors (3057959268).

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

1460461212 is a wasteful number, since it uses less digits than its factorization.

1460461212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1460461212 is about 38215.9811073849. The cubic root of 1460461212 is about 1134.5666382333.

The spelling of 1460461212 in words is "one billion, four hundred sixty million, four hundred sixty-one thousand, two hundred twelve".