407137601 has 16 divisors (see below), whose sum is σ = 454476288. Its totient is φ = 362188800.

The previous prime is 407137589. The next prime is 407137609. The reversal of 407137601 is 106731704.

It is a cyclic number.

It is not a de Polignac number, because 407137601 - 2⁶ = 407137537 is a prime.

It is a super-2 number, since 2×407137601² = 331522052296070402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407137609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101606 + ... + 105536.

It is an arithmetic number, because the mean of its divisors is an integer number (28404768).

Almost surely, 2^407137601 is an apocalyptic number.

It is an amenable number.

407137601 is a deficient number, since it is larger than the sum of its proper divisors (47338687).

407137601 is a wasteful number, since it uses less digits than its factorization.

407137601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 407137601 is about 20177.6510278080. The cubic root of 407137601 is about 741.1630123326.

The spelling of 407137601 in words is "four hundred seven million, one hundred thirty-seven thousand, six hundred one".