468104832 has 320 divisors, whose sum is σ = 1575826560. Its totient is φ = 136857600.

The previous prime is 468104773. The next prime is 468104839. The reversal of 468104832 is 238401864.

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

It is not an unprimeable number, because it can be changed into a prime (468104839) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3099957 + ... + 3100107.

It is an arithmetic number, because the mean of its divisors is an integer number (4924458).

Almost surely, 2^468104832 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 468104832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787913280).

468104832 is an abundant number, since it is smaller than the sum of its proper divisors (1107721728).

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

468104832 is a wasteful number, since it uses less digits than its factorization.

468104832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468104832 is about 21635.7304475721. The cubic root of 468104832 is about 776.4515740604.

The spelling of 468104832 in words is "four hundred sixty-eight million, one hundred four thousand, eight hundred thirty-two".