400062400 has 84 divisors (see below), whose sum is σ = 1000785400. Its totient is φ = 157363200.

The previous prime is 400062371. The next prime is 400062413. The reversal of 400062400 is 4260004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95551 + ... + 99649.

Almost surely, 2^400062400 is an apocalyptic number.

400062400 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 400062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500392700).

400062400 is an abundant number, since it is smaller than the sum of its proper divisors (600723000).

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

400062400 is a wasteful number, since it uses less digits than its factorization.

400062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 400062400 is about 20001.5599391647. The cubic root of 400062400 is about 736.8446116635.

The spelling of 400062400 in words is "four hundred million, sixty-two thousand, four hundred".