436428000 has 288 divisors, whose sum is σ = 1609826400. Its totient is φ = 116121600.

The previous prime is 436427993. The next prime is 436428011. The reversal of 436428000 is 824634.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 971776 + ... + 972224.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2^436428000 is an apocalyptic number.

436428000 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 436428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804913200).

436428000 is an abundant number, since it is smaller than the sum of its proper divisors (1173398400).

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

436428000 is an equidigital number, since it uses as much as digits as its factorization.

436428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 436428000 is about 20890.8592451340. The cubic root of 436428000 is about 758.5266933031.

The spelling of 436428000 in words is "four hundred thirty-six million, four hundred twenty-eight thousand".