420757400 has 192 divisors, whose sum is σ = 1189209600. Its totient is φ = 135336960.

The previous prime is 420757399. The next prime is 420757409. The reversal of 420757400 is 4757024.

420757400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420757409) 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, 2350511 + ... + 2350689.

It is an arithmetic number, because the mean of its divisors is an integer number (6193800).

Almost surely, 2^420757400 is an apocalyptic number.

420757400 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 420757400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594604800).

420757400 is an abundant number, since it is smaller than the sum of its proper divisors (768452200).

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

420757400 is a wasteful number, since it uses less digits than its factorization.

420757400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 420757400 is about 20512.3718765042. The cubic root of 420757400 is about 749.3371328339.

The spelling of 420757400 in words is "four hundred twenty million, seven hundred fifty-seven thousand, four hundred".