420401400 has 192 divisors, whose sum is σ = 1386741600. Its totient is φ = 105154560.

The previous prime is 420401393. The next prime is 420401407. The reversal of 420401400 is 4104024.

It is an interprime number because it is at equal distance from previous prime (420401393) and next prime (420401407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420401400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420401407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643474 + ... + 644126.

Almost surely, 2^420401400 is an apocalyptic number.

420401400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693370800).

420401400 is an abundant number, since it is smaller than the sum of its proper divisors (966340200).

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

420401400 is a wasteful number, since it uses less digits than its factorization.

420401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 420401400 is about 20503.6923504036. The cubic root of 420401400 is about 749.1257368368.

Adding to 420401400 its reverse (4104024), we get a palindrome (424505424).

The spelling of 420401400 in words is "four hundred twenty million, four hundred one thousand, four hundred".