467141472 has 96 divisors (see below), whose sum is σ = 1557158400. Its totient is φ = 133467264.

The previous prime is 467141461. The next prime is 467141473. The reversal of 467141472 is 274141764.

It is a happy number.

467141472 is a `hidden beast` number, since 46 + 7 + 141 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467141473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32572 + ... + 44667.

It is an arithmetic number, because the mean of its divisors is an integer number (16220400).

Almost surely, 2^467141472 is an apocalyptic number.

467141472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

467141472 is an abundant number, since it is smaller than the sum of its proper divisors (1090016928).

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

467141472 is a wasteful number, since it uses less digits than its factorization.

467141472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77265 (or 77251 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 467141472 is about 21613.4558088243. The cubic root of 467141472 is about 775.9185623256.

The spelling of 467141472 in words is "four hundred sixty-seven million, one hundred forty-one thousand, four hundred seventy-two".