418972007 has 8 divisors (see below), whose sum is σ = 420687360. Its totient is φ = 417261240.

The previous prime is 418971991. The next prime is 418972009. The reversal of 418972007 is 700279814.

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

It is a cyclic number.

It is not a de Polignac number, because 418972007 - 2⁴ = 418971991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418972009) 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, 422282 + ... + 423272.

It is an arithmetic number, because the mean of its divisors is an integer number (52585920).

Almost surely, 2^418972007 is an apocalyptic number.

418972007 is a deficient number, since it is larger than the sum of its proper divisors (1715353).

418972007 is an equidigital number, since it uses as much as digits as its factorization.

418972007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293.

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 418972007 is about 20468.8057052677. The cubic root of 418972007 is about 748.2757468243.

The spelling of 418972007 in words is "four hundred eighteen million, nine hundred seventy-two thousand, seven".