420174048 has 96 divisors (see below), whose sum is σ = 1264999680. Its totient is φ = 119623680.

The previous prime is 420174047. The next prime is 420174059. The reversal of 420174048 is 840471024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×420174048² = 353092461225412608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420174043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221488 + ... + 223376.

It is an arithmetic number, because the mean of its divisors is an integer number (13177080).

Almost surely, 2^420174048 is an apocalyptic number.

420174048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420174048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632499840).

420174048 is an abundant number, since it is smaller than the sum of its proper divisors (844825632).

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

420174048 is a wasteful number, since it uses less digits than its factorization.

420174048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 420174048 is about 20498.1474284873. The cubic root of 420174048 is about 748.9906707263.

The spelling of 420174048 in words is "four hundred twenty million, one hundred seventy-four thousand, forty-eight".