426950400 has 216 divisors, whose sum is σ = 1449514864. Its totient is φ = 110592000.

The previous prime is 426950371. The next prime is 426950401. The reversal of 426950400 is 4059624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426950401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710100 + ... + 710700.

Almost surely, 2^426950400 is an apocalyptic number.

426950400 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 426950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724757432).

426950400 is an abundant number, since it is smaller than the sum of its proper divisors (1022564464).

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

426950400 is a wasteful number, since it uses less digits than its factorization.

426950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 426950400 is about 20662.7781287996. The cubic root of 426950400 is about 752.9956631832.

It can be divided in two parts, 426950 and 400, that added together give a triangular number (427350 = T₉₂₄).

The spelling of 426950400 in words is "four hundred twenty-six million, nine hundred fifty thousand, four hundred".