467601552 has 160 divisors (see below), whose sum is σ = 1541568000. Its totient is φ = 134213760.

The previous prime is 467601493. The next prime is 467601577. The reversal of 467601552 is 255106764.

It is a happy number.

467601552 is a `hidden beast` number, since 46 + 7 + 60 + 1 + 552 = 666.

It is a super-2 number, since 2×467601552² = 437302422865617408, which contains 22 as substring.

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

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, 87699 + ... + 92877.

It is an arithmetic number, because the mean of its divisors is an integer number (9634800).

Almost surely, 2^467601552 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 467601552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770784000).

467601552 is an abundant number, since it is smaller than the sum of its proper divisors (1073966448).

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

467601552 is a wasteful number, since it uses less digits than its factorization.

467601552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5226 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 467601552 is about 21624.0965591629. The cubic root of 467601552 is about 776.1732085813.

The spelling of 467601552 in words is "four hundred sixty-seven million, six hundred one thousand, five hundred fifty-two".