1514400948 has 30 divisors (see below), whose sum is σ = 3958944066. Its totient is φ = 504800208.

The previous prime is 1514400931. The next prime is 1514400971. The reversal of 1514400948 is 8490044151.

1514400948 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 818074404 + 696326544 = 28602^2 + 26388^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2336715 + ... + 2337362.

Almost surely, 2^1514400948 is an apocalyptic number.

1514400948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1514400948 is an abundant number, since it is smaller than the sum of its proper divisors (2444543118).

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

1514400948 is a wasteful number, since it uses less digits than its factorization.

1514400948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674093 (or 4674082 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1514400948 is about 38915.3048041513. The cubic root of 1514400948 is about 1148.3659079970.

The spelling of 1514400948 in words is "one billion, five hundred fourteen million, four hundred thousand, nine hundred forty-eight".