467407040 has 56 divisors (see below), whose sum is σ = 1120597200. Its totient is φ = 185689088.

The previous prime is 467407037. The next prime is 467407063. The reversal of 467407040 is 40704764.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 467406988 and 467407006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42779 + ... + 52581.

Almost surely, 2^467407040 is an apocalyptic number.

467407040 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 467407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560298600).

467407040 is an abundant number, since it is smaller than the sum of its proper divisors (653190160).

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

467407040 is a wasteful number, since it uses less digits than its factorization.

467407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 467407040 is about 21619.5985161612. The cubic root of 467407040 is about 776.0655699722.

The spelling of 467407040 in words is "four hundred sixty-seven million, four hundred seven thousand, forty".