487956001 has 16 divisors (see below), whose sum is σ = 553890960. Its totient is φ = 426666240.

The previous prime is 487955983. The next prime is 487956067. The reversal of 487956001 is 100659784.

It can be written as a sum of positive squares in 8 ways, for example, as 94965025 + 392990976 = 9745^2 + 19824^2 .

It is not a de Polignac number, because 487956001 - 2¹³ = 487947809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (487956071) 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, 7771 + ... + 32191.

It is an arithmetic number, because the mean of its divisors is an integer number (34618185).

Almost surely, 2^487956001 is an apocalyptic number.

It is an amenable number.

487956001 is a deficient number, since it is larger than the sum of its proper divisors (65934959).

487956001 is a wasteful number, since it uses less digits than its factorization.

487956001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24516.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 487956001 is about 22089.7261413536. The cubic root of 487956001 is about 787.2757744421.

The spelling of 487956001 in words is "four hundred eighty-seven million, nine hundred fifty-six thousand, one".