461264720 has 80 divisors (see below), whose sum is σ = 1267954560. Its totient is φ = 152689152.

The previous prime is 461264693. The next prime is 461264731. The reversal of 461264720 is 27462164.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2039 + ... + 30441.

It is an arithmetic number, because the mean of its divisors is an integer number (15849432).

Almost surely, 2^461264720 is an apocalyptic number.

461264720 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 461264720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633977280).

461264720 is an abundant number, since it is smaller than the sum of its proper divisors (806689840).

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

461264720 is a wasteful number, since it uses less digits than its factorization.

461264720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28452 (or 28446 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 461264720 is about 21477.0742886456. The cubic root of 461264720 is about 772.6510745122.

The spelling of 461264720 in words is "four hundred sixty-one million, two hundred sixty-four thousand, seven hundred twenty".