420536400 has 60 divisors (see below), whose sum is σ = 1347122112. Its totient is φ = 112142720.

The previous prime is 420536371. The next prime is 420536411. The reversal of 420536400 is 4635024.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174024 + ... + 176423.

Almost surely, 2^420536400 is an apocalyptic number.

420536400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420536400 is an abundant number, since it is smaller than the sum of its proper divisors (926585712).

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

420536400 is a wasteful number, since it uses less digits than its factorization.

420536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350468 (or 350457 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 420536400 is about 20506.9841761289. The cubic root of 420536400 is about 749.2059150912.

The spelling of 420536400 in words is "four hundred twenty million, five hundred thirty-six thousand, four hundred".