693413952 has 448 divisors, whose sum is σ = 2528133120. Its totient is φ = 162201600.

The previous prime is 693413947. The next prime is 693413977. The reversal of 693413952 is 259314396.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7791124 + ... + 7791212.

Almost surely, 2^693413952 is an apocalyptic number.

693413952 is a gapful number since it is divisible by the number (62) 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 693413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264066560).

693413952 is an abundant number, since it is smaller than the sum of its proper divisors (1834719168).

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

693413952 is a wasteful number, since it uses less digits than its factorization.

693413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 693413952 is about 26332.7543565044. The cubic root of 693413952 is about 885.1105661598.

The spelling of 693413952 in words is "six hundred ninety-three million, four hundred thirteen thousand, nine hundred fifty-two".