467040000 has 360 divisors, whose sum is σ = 1787927680. Its totient is φ = 105984000.

The previous prime is 467039999. The next prime is 467040023. The reversal of 467040000 is 40764.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3359931 + ... + 3360069.

Almost surely, 2^467040000 is an apocalyptic number.

467040000 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 467040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893963840).

467040000 is an abundant number, since it is smaller than the sum of its proper divisors (1320887680).

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

467040000 is an equidigital number, since it uses as much as digits as its factorization.

467040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 467040000 is about 21611.1082547842. The cubic root of 467040000 is about 775.8623768411.

Adding to 467040000 its reverse (40764), we get a palindrome (467080764).

The spelling of 467040000 in words is "four hundred sixty-seven million, forty thousand".