420577458 has 16 divisors (see below), whose sum is σ = 961320000. Its totient is φ = 120164976.

The previous prime is 420577411. The next prime is 420577489. The reversal of 420577458 is 854775024.

It is a super-3 number, since 3×420577458³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 10013749 = 420577458 / (4 + 2 + 0 + 5 + 7 + 7 + 4 + 5 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5006833 + ... + 5006916.

It is an arithmetic number, because the mean of its divisors is an integer number (60082500).

Almost surely, 2^420577458 is an apocalyptic number.

420577458 is an abundant number, since it is smaller than the sum of its proper divisors (540742542).

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

420577458 is a wasteful number, since it uses less digits than its factorization.

420577458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013761.

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 420577458 is about 20507.9852252726. The cubic root of 420577458 is about 749.2302965680.

The spelling of 420577458 in words is "four hundred twenty million, five hundred seventy-seven thousand, four hundred fifty-eight".