461162240 has 144 divisors (see below), whose sum is σ = 1377492480. Its totient is φ = 143708160.

The previous prime is 461162239. The next prime is 461162249. The reversal of 461162240 is 42261164.

It is a super-2 number, since 2×461162240² = 425341223203635200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461162249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96221 + ... + 100899.

It is an arithmetic number, because the mean of its divisors is an integer number (9565920).

Almost surely, 2^461162240 is an apocalyptic number.

461162240 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 461162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

461162240 is an abundant number, since it is smaller than the sum of its proper divisors (916330240).

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

461162240 is a wasteful number, since it uses less digits than its factorization.

461162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 461162240 is about 21474.6883562952. The cubic root of 461162240 is about 772.5938498547.

The spelling of 461162240 in words is "four hundred sixty-one million, one hundred sixty-two thousand, two hundred forty".