420400953 has 12 divisors (see below), whose sum is σ = 693995328. Its totient is φ = 240229080.

The previous prime is 420400933. The next prime is 420401017. The reversal of 420400953 is 359004024.

It is not a de Polignac number, because 420400953 - 2¹⁰ = 420399929 is a prime.

It is a super-2 number, since 2×420400953² = 353473922566616418, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420400933) 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, 3336453 + ... + 3336578.

It is an arithmetic number, because the mean of its divisors is an integer number (57832944).

Almost surely, 2^420400953 is an apocalyptic number.

It is an amenable number.

420400953 is a deficient number, since it is larger than the sum of its proper divisors (273594375).

420400953 is a wasteful number, since it uses less digits than its factorization.

420400953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673044 (or 6673041 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 420400953 is about 20503.6814499250. The cubic root of 420400953 is about 749.1254713292.

Adding to 420400953 its reverse (359004024), we get a palindrome (779404977).

The spelling of 420400953 in words is "four hundred twenty million, four hundred thousand, nine hundred fifty-three".