467906640 has 160 divisors (see below), whose sum is σ = 1557864576. Its totient is φ = 115752960.

The previous prime is 467906633. The next prime is 467906689. The reversal of 467906640 is 46609764.

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

It is a junction number, because it is equal to n+sod(n) for n = 467906592 and 467906601.

It is a congruent number.

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, 297055 + ... + 298625.

Almost surely, 2^467906640 is an apocalyptic number.

467906640 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 467906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778932288).

467906640 is an abundant number, since it is smaller than the sum of its proper divisors (1089957936).

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

467906640 is a wasteful number, since it uses less digits than its factorization.

467906640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 467906640 is about 21631.1497613973. The cubic root of 467906640 is about 776.3419773753.

The spelling of 467906640 in words is "four hundred sixty-seven million, nine hundred six thousand, six hundred forty".