403460400 has 240 divisors, whose sum is σ = 1512752384. Its totient is φ = 89994240.

The previous prime is 403460363. The next prime is 403460401. The reversal of 403460400 is 4064304.

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 (21).

It is not an unprimeable number, because it can be changed into a prime (403460401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360642 + ... + 361758.

Almost surely, 2^403460400 is an apocalyptic number.

403460400 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 403460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756376192).

403460400 is an abundant number, since it is smaller than the sum of its proper divisors (1109291984).

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

403460400 is a wasteful number, since it uses less digits than its factorization.

403460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 403460400 is about 20086.3237054469. The cubic root of 403460400 is about 738.9249058349.

The spelling of 403460400 in words is "four hundred three million, four hundred sixty thousand, four hundred".