420101400 has 192 divisors, whose sum is σ = 1404374400. Its totient is φ = 103541760.

The previous prime is 420101389. The next prime is 420101459. The reversal of 420101400 is 4101024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489772 + ... + 490628.

It is an arithmetic number, because the mean of its divisors is an integer number (7314450).

Almost surely, 2^420101400 is an apocalyptic number.

420101400 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 420101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702187200).

420101400 is an abundant number, since it is smaller than the sum of its proper divisors (984273000).

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

420101400 is a wasteful number, since it uses less digits than its factorization.

420101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 420101400 is about 20496.3752893042. The cubic root of 420101400 is about 748.9475014645.

Adding to 420101400 its reverse (4101024), we get a palindrome (424202424).

The spelling of 420101400 in words is "four hundred twenty million, one hundred one thousand, four hundred".