467697672 has 128 divisors (see below), whose sum is σ = 1407974400. Its totient is φ = 142995456.

The previous prime is 467697653. The next prime is 467697691. The reversal of 467697672 is 276796764.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (467697653) and next prime (467697691).

It is a super-2 number, since 2×467697672² = 437482224788439168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541513 + ... + 542375.

It is an arithmetic number, because the mean of its divisors is an integer number (10999800).

Almost surely, 2^467697672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467697672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703987200).

467697672 is an abundant number, since it is smaller than the sum of its proper divisors (940276728).

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

467697672 is a wasteful number, since it uses less digits than its factorization.

467697672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its digits is 5334336, while the sum is 54.

The square root of 467697672 is about 21626.3189655568. The cubic root of 467697672 is about 776.2263882290.

The spelling of 467697672 in words is "four hundred sixty-seven million, six hundred ninety-seven thousand, six hundred seventy-two".