467858820 has 192 divisors, whose sum is σ = 1589575680. Its totient is φ = 101260800.

The previous prime is 467858779. The next prime is 467858863. The reversal of 467858820 is 28858764.

It is a self number, because there is not a number n which added to its sum of digits gives 467858820.

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, 265101 + ... + 266859.

It is an arithmetic number, because the mean of its divisors is an integer number (8279040).

Almost surely, 2^467858820 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 467858820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794787840).

467858820 is an abundant number, since it is smaller than the sum of its proper divisors (1121716860).

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

467858820 is a wasteful number, since it uses less digits than its factorization.

467858820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 467858820 is about 21630.0443827561. The cubic root of 467858820 is about 776.3155291233.

The spelling of 467858820 in words is "four hundred sixty-seven million, eight hundred fifty-eight thousand, eight hundred twenty".