420157744 has 40 divisors (see below), whose sum is σ = 852445440. Its totient is φ = 200236608.

The previous prime is 420157729. The next prime is 420157747. The reversal of 420157744 is 447751024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (420157747) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 111117 + ... + 114835.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2^420157744 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 420157744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426222720).

420157744 is an abundant number, since it is smaller than the sum of its proper divisors (432287696).

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

420157744 is a wasteful number, since it uses less digits than its factorization.

420157744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 420157744 is about 20497.7497301533. The cubic root of 420157744 is about 748.9809829141.

The spelling of 420157744 in words is "four hundred twenty million, one hundred fifty-seven thousand, seven hundred forty-four".