400134000 has 240 divisors, whose sum is σ = 1501752096. Its totient is φ = 91392000.

The previous prime is 400133999. The next prime is 400134011. The reversal of 400134000 is 431004.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293320 + ... + 294680.

Almost surely, 2^400134000 is an apocalyptic number.

400134000 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 400134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750876048).

400134000 is an abundant number, since it is smaller than the sum of its proper divisors (1101618096).

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

400134000 is a wasteful number, since it uses less digits than its factorization.

400134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400134000 is about 20003.3497194845. The cubic root of 400134000 is about 736.8885672457. Note that the first 3 decimals are identical.

Adding to 400134000 its reverse (431004), we get a palindrome (400565004).

The spelling of 400134000 in words is "four hundred million, one hundred thirty-four thousand".