420007464 has 128 divisors (see below), whose sum is σ = 1270800000. Its totient is φ = 128024064.

The previous prime is 420007459. The next prime is 420007477. The reversal of 420007464 is 464700024.

It is a super-2 number, since 2×420007464² = 352812539631422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 117252 + ... + 120780.

It is an arithmetic number, because the mean of its divisors is an integer number (9928125).

Almost surely, 2^420007464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420007464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635400000).

420007464 is an abundant number, since it is smaller than the sum of its proper divisors (850792536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420007464 is a wasteful number, since it uses less digits than its factorization.

420007464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 420007464 is about 20494.0836340638. The cubic root of 420007464 is about 748.8916749609.

Adding to 420007464 its reverse (464700024), we get a palindrome (884707488).

The spelling of 420007464 in words is "four hundred twenty million, seven thousand, four hundred sixty-four".