461917440 has 216 divisors, whose sum is σ = 1618075368. Its totient is φ = 121651200.

The previous prime is 461917403. The next prime is 461917459. The reversal of 461917440 is 44719164.

461917440 is a `hidden beast` number, since 461 + 91 + 74 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192432384 + 269485056 = 13872^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461917395 and 461917404.

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, 1163322 + ... + 1163718.

Almost surely, 2^461917440 is an apocalyptic number.

461917440 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 461917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809037684).

461917440 is an abundant number, since it is smaller than the sum of its proper divisors (1156157928).

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

461917440 is a wasteful number, since it uses less digits than its factorization.

461917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 461917440 is about 21492.2646549869. The cubic root of 461917440 is about 773.0153534826.

The spelling of 461917440 in words is "four hundred sixty-one million, nine hundred seventeen thousand, four hundred forty".