420451104 has 48 divisors (see below), whose sum is σ = 1108144800. Its totient is φ = 139584000.

The previous prime is 420451103. The next prime is 420451111. The reversal of 420451104 is 401154024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×420451104⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (420451103) 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, 15372 + ... + 32820.

It is an arithmetic number, because the mean of its divisors is an integer number (23086350).

Almost surely, 2^420451104 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 420451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554072400).

420451104 is an abundant number, since it is smaller than the sum of its proper divisors (687693696).

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

420451104 is a wasteful number, since it uses less digits than its factorization.

420451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17713 (or 17705 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 420451104 is about 20504.9043889505. The cubic root of 420451104 is about 749.1552586845.

The spelling of 420451104 in words is "four hundred twenty million, four hundred fifty-one thousand, one hundred four".