400514040 has 96 divisors (see below), whose sum is σ = 1331993520. Its totient is φ = 104315904.

The previous prime is 400514039. The next prime is 400514047. The reversal of 400514040 is 40415004.

It is a super-2 number, since 2×400514040² = 320822992474243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400514047) 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, 2544 + ... + 28416.

Almost surely, 2^400514040 is an apocalyptic number.

400514040 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 400514040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665996760).

400514040 is an abundant number, since it is smaller than the sum of its proper divisors (931479480).

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

400514040 is a wasteful number, since it uses less digits than its factorization.

400514040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25933 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 400514040 is about 20012.8468739457. The cubic root of 400514040 is about 737.1217878806.

Adding to 400514040 its reverse (40415004), we get a palindrome (440929044).

The spelling of 400514040 in words is "four hundred million, five hundred fourteen thousand, forty".