403378560 has 192 divisors, whose sum is σ = 1500342480. Its totient is φ = 99274752.

The previous prime is 403378559. The next prime is 403378561. The reversal of 403378560 is 65873304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (403378559) and next prime (403378561).

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403378561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72187 + ... + 77573.

Almost surely, 2^403378560 is an apocalyptic number.

403378560 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 403378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750171240).

403378560 is an abundant number, since it is smaller than the sum of its proper divisors (1096963920).

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

403378560 is a wasteful number, since it uses less digits than its factorization.

403378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 403378560 is about 20084.2863950901. The cubic root of 403378560 is about 738.8749400030.

The spelling of 403378560 in words is "four hundred three million, three hundred seventy-eight thousand, five hundred sixty".