406553472 has 128 divisors (see below), whose sum is σ = 1292340000. Its totient is φ = 125079552.

The previous prime is 406553467. The next prime is 406553473. The reversal of 406553472 is 274355604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406553473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40404 + ... + 49452.

Almost surely, 2^406553472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406553472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646170000).

406553472 is an abundant number, since it is smaller than the sum of its proper divisors (885786528).

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

406553472 is a wasteful number, since it uses less digits than its factorization.

406553472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 406553472 is about 20163.1711791573. The cubic root of 406553472 is about 740.8083885557.

It can be divided in two parts, 406 and 553472, that added together give a triangular number (553878 = T₁₀₅₂).

The spelling of 406553472 in words is "four hundred six million, five hundred fifty-three thousand, four hundred seventy-two".