461354240 has 72 divisors (see below), whose sum is σ = 1153208448. Its totient is φ = 176506880.

The previous prime is 461354239. The next prime is 461354249. The reversal of 461354240 is 42453164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461354249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21605 + ... + 37275.

It is an arithmetic number, because the mean of its divisors is an integer number (16016784).

Almost surely, 2^461354240 is an apocalyptic number.

461354240 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 461354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576604224).

461354240 is an abundant number, since it is smaller than the sum of its proper divisors (691854208).

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

461354240 is a wasteful number, since it uses less digits than its factorization.

461354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15715 (or 15701 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 461354240 is about 21479.1582702861. The cubic root of 461354240 is about 772.7010553923.

The spelling of 461354240 in words is "four hundred sixty-one million, three hundred fifty-four thousand, two hundred forty".