901006407 has 12 divisors (see below), whose sum is σ = 1487375760. Its totient is φ = 514860768.

The previous prime is 901006397. The next prime is 901006433. The reversal of 901006407 is 704600109.

901006407 is a `hidden beast` number, since 9 + 0 + 10 + 0 + 640 + 7 = 666.

It is not a de Polignac number, because 901006407 - 2¹⁹ = 900482119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901006207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7150782 + ... + 7150907.

It is an arithmetic number, because the mean of its divisors is an integer number (123947980).

Almost surely, 2^901006407 is an apocalyptic number.

901006407 is a deficient number, since it is larger than the sum of its proper divisors (586369353).

901006407 is a wasteful number, since it uses less digits than its factorization.

901006407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14301702 (or 14301699 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 901006407 is about 30016.7687634762. The cubic root of 901006407 is about 965.8491302776.

The spelling of 901006407 in words is "nine hundred one million, six thousand, four hundred seven".