468794040 has 256 divisors, whose sum is σ = 1750533120. Its totient is φ = 98672640.

The previous prime is 468794021. The next prime is 468794093. The reversal of 468794040 is 40497864.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 468793983 and 468794001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290917 + ... + 292523.

It is an arithmetic number, because the mean of its divisors is an integer number (6838020).

Almost surely, 2^468794040 is an apocalyptic number.

468794040 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 468794040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875266560).

468794040 is an abundant number, since it is smaller than the sum of its proper divisors (1281739080).

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

468794040 is a wasteful number, since it uses less digits than its factorization.

468794040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 468794040 is about 21651.6521309576. The cubic root of 468794040 is about 776.8324532857.

The spelling of 468794040 in words is "four hundred sixty-eight million, seven hundred ninety-four thousand, forty".