406262400 has 192 divisors, whose sum is σ = 1354600800. Its totient is φ = 107008000.

The previous prime is 406262393. The next prime is 406262411. The reversal of 406262400 is 4262604.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969391 + ... + 969809.

Almost surely, 2^406262400 is an apocalyptic number.

406262400 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 406262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677300400).

406262400 is an abundant number, since it is smaller than the sum of its proper divisors (948338400).

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

406262400 is a wasteful number, since it uses less digits than its factorization.

406262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 406262400 is about 20155.9519745409. The cubic root of 406262400 is about 740.6315523998.

The spelling of 406262400 in words is "four hundred six million, two hundred sixty-two thousand, four hundred".