461612070 has 96 divisors (see below), whose sum is σ = 1258545600. Its totient is φ = 117165312.

The previous prime is 461612059. The next prime is 461612131. The reversal of 461612070 is 70216164.

461612070 is a `hidden beast` number, since 46 + 1 + 612 + 0 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556416 + ... + 557244.

It is an arithmetic number, because the mean of its divisors is an integer number (13109850).

Almost surely, 2^461612070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461612070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629272800).

461612070 is an abundant number, since it is smaller than the sum of its proper divisors (796933530).

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

461612070 is a wasteful number, since it uses less digits than its factorization.

461612070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 461612070 is about 21485.1592965935. The cubic root of 461612070 is about 772.8449711333.

The spelling of 461612070 in words is "four hundred sixty-one million, six hundred twelve thousand, seventy".