461262120 has 128 divisors (see below), whose sum is σ = 1517322240. Its totient is φ = 111248640.

The previous prime is 461262077. The next prime is 461262121. The reversal of 461262120 is 21262164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (461262121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293577 + ... + 295143.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2^461262120 is an apocalyptic number.

461262120 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 461262120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758661120).

461262120 is an abundant number, since it is smaller than the sum of its proper divisors (1056060120).

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

461262120 is a wasteful number, since it uses less digits than its factorization.

461262120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 461262120 is about 21477.0137589005. The cubic root of 461262120 is about 772.6496227814.

The spelling of 461262120 in words is "four hundred sixty-one million, two hundred sixty-two thousand, one hundred twenty".