403497072 has 320 divisors, whose sum is σ = 1374912000. Its totient is φ = 111974400.

The previous prime is 403497071. The next prime is 403497089. The reversal of 403497072 is 270794304.

It is a super-2 number, since 2×403497072² = 325619774225146368, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403497071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3701754 + ... + 3701862.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^403497072 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 403497072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687456000).

403497072 is an abundant number, since it is smaller than the sum of its proper divisors (971414928).

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

403497072 is a wasteful number, since it uses less digits than its factorization.

403497072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 403497072 is about 20087.2365446320. The cubic root of 403497072 is about 738.9472930244.

The spelling of 403497072 in words is "four hundred three million, four hundred ninety-seven thousand, seventy-two".