468898416 has 160 divisors (see below), whose sum is σ = 1619340800. Its totient is φ = 126904320.

The previous prime is 468898411. The next prime is 468898439. The reversal of 468898416 is 614898864.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (2654208) is a multiple of the sum of its prime divisors (8192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468898411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53376 + ... + 61536.

It is an arithmetic number, because the mean of its divisors is an integer number (10120880).

Almost surely, 2^468898416 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 468898416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809670400).

468898416 is an abundant number, since it is smaller than the sum of its proper divisors (1150442384).

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

468898416 is a wasteful number, since it uses less digits than its factorization.

468898416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8192 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 468898416 is about 21654.0623440499. The cubic root of 468898416 is about 776.8901023741.

The spelling of 468898416 in words is "four hundred sixty-eight million, eight hundred ninety-eight thousand, four hundred sixteen".