420756607 has 8 divisors (see below), whose sum is σ = 430309440. Its totient is φ = 411309600.

The previous prime is 420756593. The next prime is 420756659. The reversal of 420756607 is 706657024.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-420756607 is a prime.

It is a super-4 number, since 4×420756607⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420756697) 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, 18388 + ... + 34345.

It is an arithmetic number, because the mean of its divisors is an integer number (53788680).

Almost surely, 2^420756607 is an apocalyptic number.

420756607 is a deficient number, since it is larger than the sum of its proper divisors (9552833).

420756607 is a wasteful number, since it uses less digits than its factorization.

420756607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52913.

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 420756607 is about 20512.3525466973. The cubic root of 420756607 is about 749.3366620760.

The spelling of 420756607 in words is "four hundred twenty million, seven hundred fifty-six thousand, six hundred seven".