461439432 has 192 divisors, whose sum is σ = 1421297280. Its totient is φ = 134424576.

The previous prime is 461439421. The next prime is 461439439. The reversal of 461439432 is 234934164.

It is a happy number.

461439432 is a `hidden beast` number, since 4 + 614 + 3 + 9 + 4 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (461439439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041403 + ... + 1041845.

It is an arithmetic number, because the mean of its divisors is an integer number (7402590).

Almost surely, 2^461439432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461439432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710648640).

461439432 is an abundant number, since it is smaller than the sum of its proper divisors (959857848).

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

461439432 is a wasteful number, since it uses less digits than its factorization.

461439432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 461439432 is about 21481.1413104611. The cubic root of 461439432 is about 772.7486138562.

The spelling of 461439432 in words is "four hundred sixty-one million, four hundred thirty-nine thousand, four hundred thirty-two".