415824001 has 2 divisors, whose sum is σ = 415824002. Its totient is φ = 415824000.

The previous prime is 415823977. The next prime is 415824037. The reversal of 415824001 is 100428514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 290361600 + 125462401 = 17040^2 + 11201^2 .

It is a cyclic number.

It is not a de Polignac number, because 415824001 - 2¹¹ = 415821953 is a prime.

It is not a weakly prime, because it can be changed into another prime (415824041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207912000 + 207912001.

It is an arithmetic number, because the mean of its divisors is an integer number (207912001).

Almost surely, 2^415824001 is an apocalyptic number.

It is an amenable number.

415824001 is a deficient number, since it is larger than the sum of its proper divisors (1).

415824001 is an equidigital number, since it uses as much as digits as its factorization.

415824001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 415824001 is about 20391.7630674741. The cubic root of 415824001 is about 746.3969411560.

The spelling of 415824001 in words is "four hundred fifteen million, eight hundred twenty-four thousand, one".