420478410 has 64 divisors (see below), whose sum is σ = 1148774400. Its totient is φ = 97500480.

The previous prime is 420478349. The next prime is 420478439. The reversal of 420478410 is 14874024.

It is a super-3 number, since 3×420478410³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20110 + ... + 35289.

It is an arithmetic number, because the mean of its divisors is an integer number (17949600).

Almost surely, 2^420478410 is an apocalyptic number.

420478410 is an abundant number, since it is smaller than the sum of its proper divisors (728295990).

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

420478410 is a wasteful number, since it uses less digits than its factorization.

420478410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55443.

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

The square root of 420478410 is about 20505.5702188454. The cubic root of 420478410 is about 749.1714761792.

The spelling of 420478410 in words is "four hundred twenty million, four hundred seventy-eight thousand, four hundred ten".