468628001 has 8 divisors (see below), whose sum is σ = 496383624. Its totient is φ = 440893440.

The previous prime is 468627979. The next prime is 468628021. The reversal of 468628001 is 100826864.

It can be written as a sum of positive squares in 4 ways, for example, as 55115776 + 413512225 = 7424^2 + 20335^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 468628001 - 2⁶ = 468627937 is a prime.

It is a super-2 number, since 2×468628001² = 439224406642512002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (468628021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82121 + ... + 87641.

It is an arithmetic number, because the mean of its divisors is an integer number (62047953).

Almost surely, 2^468628001 is an apocalyptic number.

It is an amenable number.

468628001 is a deficient number, since it is larger than the sum of its proper divisors (27755623).

468628001 is a wasteful number, since it uses less digits than its factorization.

468628001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531.

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 468628001 is about 21647.8174650471. The cubic root of 468628001 is about 776.7407287729.

The spelling of 468628001 in words is "four hundred sixty-eight million, six hundred twenty-eight thousand, one".