405155400 has 192 divisors, whose sum is σ = 1366579200. Its totient is φ = 98703360.

The previous prime is 405155383. The next prime is 405155423. The reversal of 405155400 is 4551504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 990396 + ... + 990804.

It is an arithmetic number, because the mean of its divisors is an integer number (7117600).

Almost surely, 2^405155400 is an apocalyptic number.

405155400 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 405155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683289600).

405155400 is an abundant number, since it is smaller than the sum of its proper divisors (961423800).

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

405155400 is a wasteful number, since it uses less digits than its factorization.

405155400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 405155400 is about 20128.4723712457. The cubic root of 405155400 is about 739.9582396692.

The spelling of 405155400 in words is "four hundred five million, one hundred fifty-five thousand, four hundred".