420154400 has 36 divisors (see below), whose sum is σ = 1025703882. Its totient is φ = 168061440.

The previous prime is 420154393. The next prime is 420154417. The reversal of 420154400 is 4451024.

It can be written as a sum of positive squares in 3 ways, for example, as 344325136 + 75829264 = 18556^2 + 8708^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 261797 + ... + 263396.

Almost surely, 2^420154400 is an apocalyptic number.

420154400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420154400 is an abundant number, since it is smaller than the sum of its proper divisors (605549482).

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

420154400 is a wasteful number, since it uses less digits than its factorization.

420154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525213 (or 525200 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 420154400 is about 20497.6681600615. The cubic root of 420154400 is about 748.9789958834.

The spelling of 420154400 in words is "four hundred twenty million, one hundred fifty-four thousand, four hundred".