461229904 has 40 divisors (see below), whose sum is σ = 938154240. Its totient is φ = 219379200.

The previous prime is 461229829. The next prime is 461229913. The reversal of 461229904 is 409922164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21384 + ... + 37144.

It is an arithmetic number, because the mean of its divisors is an integer number (23453856).

Almost surely, 2^461229904 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 461229904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469077120).

461229904 is an abundant number, since it is smaller than the sum of its proper divisors (476924336).

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

461229904 is a wasteful number, since it uses less digits than its factorization.

461229904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15859 (or 15853 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 461229904 is about 21476.2637346443. The cubic root of 461229904 is about 772.6316342678.

The spelling of 461229904 in words is "four hundred sixty-one million, two hundred twenty-nine thousand, nine hundred four".