467834640 has 320 divisors, whose sum is σ = 1845215232. Its totient is φ = 95385600.

The previous prime is 467834639. The next prime is 467834677. The reversal of 467834640 is 46438764.

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 = 467834592 and 467834601.

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, 676695 + ... + 677385.

Almost surely, 2^467834640 is an apocalyptic number.

467834640 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 467834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922607616).

467834640 is an abundant number, since it is smaller than the sum of its proper divisors (1377380592).

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

467834640 is a wasteful number, since it uses less digits than its factorization.

467834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 467834640 is about 21629.4854307725. The cubic root of 467834640 is about 776.3021549799.

The spelling of 467834640 in words is "four hundred sixty-seven million, eight hundred thirty-four thousand, six hundred forty".