468417640 has 64 divisors (see below), whose sum is σ = 1124740800. Its totient is φ = 175053312.

The previous prime is 468417637. The next prime is 468417641. The reversal of 468417640 is 46714864.

It is a super-3 number, since 3×468417640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 468417593 and 468417602.

It is not an unprimeable number, because it can be changed into a prime (468417641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51259 + ... + 59701.

It is an arithmetic number, because the mean of its divisors is an integer number (17574075).

Almost surely, 2^468417640 is an apocalyptic number.

468417640 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 468417640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562370400).

468417640 is an abundant number, since it is smaller than the sum of its proper divisors (656323160).

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

468417640 is a wasteful number, since it uses less digits than its factorization.

468417640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 468417640 is about 21642.9582081563. The cubic root of 468417640 is about 776.6244884494.

The spelling of 468417640 in words is "four hundred sixty-eight million, four hundred seventeen thousand, six hundred forty".