468901440 has 224 divisors, whose sum is σ = 1890735360. Its totient is φ = 107163648.

The previous prime is 468901439. The next prime is 468901451. The reversal of 468901440 is 44109864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 468901395 and 468901404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56604 + ... + 64356.

Almost surely, 2^468901440 is an apocalyptic number.

468901440 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 468901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945367680).

468901440 is an abundant number, since it is smaller than the sum of its proper divisors (1421833920).

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

468901440 is a wasteful number, since it uses less digits than its factorization.

468901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 468901440 is about 21654.1321691727. The cubic root of 468901440 is about 776.8917724662.

The spelling of 468901440 in words is "four hundred sixty-eight million, nine hundred one thousand, four hundred forty".