418120704 has 165 divisors, whose sum is σ = 1266423631. Its totient is φ = 137410560.

The previous prime is 418120699. The next prime is 418120727. The reversal of 418120704 is 407021814.

The square root of 418120704 is 20448.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×418120704² = 349649846226911232, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5888989 + ... + 5889059.

Almost surely, 2^418120704 is an apocalyptic number.

418120704 is the 20448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418120704

418120704 is an abundant number, since it is smaller than the sum of its proper divisors (848302927).

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

418120704 is an frugal number, since it uses more digits than its factorization.

418120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The cubic root of 418120704 is about 747.7685997210.

The spelling of 418120704 in words is "four hundred eighteen million, one hundred twenty thousand, seven hundred four".