468615840 has 384 divisors, whose sum is σ = 1904394240. Its totient is φ = 94003200.

The previous prime is 468615839. The next prime is 468615853. The reversal of 468615840 is 48516864.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 468615792 and 468615801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145556 + ... + 1145964.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2^468615840 is an apocalyptic number.

468615840 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 468615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952197120).

468615840 is an abundant number, since it is smaller than the sum of its proper divisors (1435778400).

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

468615840 is a wasteful number, since it uses less digits than its factorization.

468615840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 468615840 is about 21647.5365804056. The cubic root of 468615840 is about 776.7340098503.

The spelling of 468615840 in words is "four hundred sixty-eight million, six hundred fifteen thousand, eight hundred forty".