467419680 has 768 divisors, whose sum is σ = 2133734400. Its totient is φ = 92897280.

The previous prime is 467419663. The next prime is 467419681. The reversal of 467419680 is 86914764.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467419681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11400460 + ... + 11400500.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^467419680 is an apocalyptic number.

467419680 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 467419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066867200).

467419680 is an abundant number, since it is smaller than the sum of its proper divisors (1666314720).

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

467419680 is a wasteful number, since it uses less digits than its factorization.

467419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 467419680 is about 21619.8908415376. The cubic root of 467419680 is about 776.0725655738.

The spelling of 467419680 in words is "four hundred sixty-seven million, four hundred nineteen thousand, six hundred eighty".