461721240 has 96 divisors (see below), whose sum is σ = 1504666800. Its totient is φ = 122791680.

The previous prime is 461721233. The next prime is 461721289. The reversal of 461721240 is 42127164.

461721240 is a `hidden beast` number, since 4 + 617 + 2 + 1 + 2 + 40 = 666.

It is a super-3 number, since 3×461721240³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149310 + ... + 152370.

Almost surely, 2^461721240 is an apocalyptic number.

461721240 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 461721240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752333400).

461721240 is an abundant number, since it is smaller than the sum of its proper divisors (1042945560).

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

461721240 is a wasteful number, since it uses less digits than its factorization.

461721240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 461721240 is about 21487.6997372916. The cubic root of 461721240 is about 772.9058915762.

The spelling of 461721240 in words is "four hundred sixty-one million, seven hundred twenty-one thousand, two hundred forty".