400140000 has 600 divisors, whose sum is σ = 1666997640. Its totient is φ = 93312000.

The previous prime is 400139939. The next prime is 400140023. The reversal of 400140000 is 41004.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×400140000² = 320224039200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 21059991 + ... + 21060009.

Almost surely, 2^400140000 is an apocalyptic number.

400140000 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 400140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833498820).

400140000 is an abundant number, since it is smaller than the sum of its proper divisors (1266857640).

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

400140000 is a wasteful number, since it uses less digits than its factorization.

400140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 400140000 is about 20003.4996938036. The cubic root of 400140000 is about 736.8922504362.

Adding to 400140000 its reverse (41004), we get a palindrome (400181004).

The spelling of 400140000 in words is "four hundred million, one hundred forty thousand".